Memes

That’s only true within the sphere of Marxist ideology and is not a widely-held distinction made by the rest of society. i.e., actual current law wherein:

Private property refers to the ownership of property by private parties - essentially anyone or anything other than the government. Private property may consist of real estate, buildings, objects, intellectual property (copyright, patent, trademark, and trade secrets). The transfer of a private property commonly takes place by the owner's consent or through a sale or as a gift.

Outside of Marxist ideology, and in actual practice, individuals are one class of private entity, making personal property a type of private property. The average person can not be expected to fully understand the nuances of how Marxism alters these definitions, nor accept them in practicality.

Fine.

Google, define communism:

a political theory derived from Karl Marx, advocating class war and leading to a society in which all property is publicly owned and each person works and is paid according to their abilities and needs.

Britannica:

communism, political and economic doctrine that aims to replace private property and a profit-based economy with public ownership and communal control of at least the major means of production (e.g., mines, mills, and factories) and the natural resources of a society.

dictionary.com:

a theory or system of social organization based on the holding of all property in common, actual ownership being ascribed to the community as a whole or to the state

Merriam-Webster:

a: a system in which goods are owned in common and are available to all as needed

b: a theory advocating elimination of private property

Oxford English Dictionary:

A theory that advocates the abolition of private ownership, all property being vested in the community…

Remember that it is unnecessary to cite sources when dealing with common knowledge.