It is not equally distributed in communism either. The ruling class always gets awarded more.
Maybe in a Marxist-Leninist state, but not in communism defined as a stateless classless society. There is no ruling class in such a society.
And what happens as soon as you have a stateless and classless society?
For those communities that do already have a stateless, classeless society, you mean? This happens.
The TL:DR is that you function on the agreed-upon principles of horizontality and mutual aid, but I know that doesn't sound like a satisifying answer, and there are so many ways that might look.
A "Showerthought" is a simple term used to describe the thoughts that pop into your head while you're doing everyday things like taking a shower, driving, or just daydreaming. A showerthought should offer a unique perspective on an ordinary part of life.