Genèse 45:1

And Joseph could not endure not to (be able to) weep, on account of all who stood before him. And he said, Let every man go out from me: and no one stood with him, while Joseph made himself known to his brothers.

THEN JOSEPH COULD NOT ‘L’HITHAPEIK’ (REFRAIN HIMSELF) BEFORE ALL THEM THAT STOOD BY HIM. He could not bear that the Egyptians should stand by him witnessing how his brothers would be put to shame when he makes himself known to them. This is the language of Rashi. But Rabbi Abraham ibn Ezra said that l’hithapeik means “to bear.” The expression Before all them that stood by him, means until all that stood by him would go out, and so it was necessary that he call out that they be removed. Onkelos, however, translated l’hithapeik as meaning “to strengthen himself.” Similarly: ‘Va’ethapak” (And I forced myself) and offered the burnt-offering. Every other form of hithapkuth in every place is likewise an expression of strengthening.
The correct interpretation in my opinion is that there were present many people of Pharaoh’s house and other Egyptians, pleading with Joseph to pardon Benjamin, for their compassions were deeply stirred by Judah’s pleas, and Joseph could not overcome them all. He then called forth to his servants, “Let every strange man go out from me, because I will speak to them.” And when they had gone out, he wept aloud; and the Egyptians heard, and the people of the house of Pharaoh, who had been expelled from his presence, for they were still in the outer court.
It is possible that the expression, ‘hanitzavim’ (them that stood) by him, means his servants who stood before him, just as: The servant ‘hanitzav’ (that was set) over the reapers; ‘sarei hanitzavim’ (chief officers); ‘L’hithyatzeiv’ (To present themselves) before the Eternal. And the meaning of Vayikra (and he called) is that he raised his voice with anger and said to his servants, “Cause every man to go out from before me, except these men.” And the reason for the removal is that he expelled them from there so that they should not hear when he mentions the matter of the sale to his brothers because it would be a source of distress to them and also to himself, for the servants of Pharaoh and the Egyptians will say of them: “These are treacheous people who must not live in our land, nor tread in our palaces. They have acted treacherously against their brother, and also dealt treacherously with their father. What will they do to the king and his people?” They would also no longer believe in Joseph.

ולא יכול יוסף להתאפק, up until now Joseph had practiced restraint in every one of his actions and words to the brothers. As we know from 43,31 “he restrained himself and ordered the meal to be served.”

לכל הנצבים עליו, in the presence of all those surrounding him; he now could no longer restrain his emotions. He called to all his personal servants even to leave the building. This is the plain meaning of the text.

להתאפק לכל הנצבים עליו, he did not have the patience at this stage to deal with the private concerns of all the people who were awaiting to receive an audience and were already lining up in that house.

ולא יכול, the repeated references by Yehudah to the mental anguish experienced by his aged father proved too much for Joseph to maintain his composure. It kindled his sense of compassion also towards his brothers so that he could not restrain himself from weeping. In order not to make a public spectacle of himself in front of people whom it did not directly concern, he ordered הוציאו כל איש מעלי, “remove everybody from my presence! The ones present not only left themselves but made sure that no one entered until invited. Joseph had said after all, כל איש, “everybody!”