Go ahead, step up to the plate and try to prove your accusation.
From dictionary.com:
Socialism:
a theory or system of social organization that advocates the vesting of the ownership and control of the means of production and distribution, of capital, land, etc., in the community as a whole.
So lets start with Romney care. In this case, the production and capital (healthcare) are to be taken from the individual and business owners (via the mandate) and redistributed to the community (population) by the State.