What is the difference between egalitarianism and communism?
You can say, "We have a very egalitarian workplace policy", or even, "Our household is very egalitarian - we all have our responibilities, and we all share in the benefits." The household might also share a Marxist attitude to the sharing of property, but it's unlikely that this would be referred to as communist household.
Communism isn't primarily concerned with the equality of humans. It's an economic system.