That's the trick wording they use. "People" is NOT the same as "Individual". Our system of government started off giving all political power to the individual. Over time we have let the government take a lot of that power away from us.
Communists use the word "People" because it is plural as in collective. Because a collective does not have a unified voice the government steps in as the voice of the collective. They micromanage the collective by eliminating individuals who the government deems as less valuable to society.
Socialism, communism and fascism all operate under the same principle that the government has all political power and they get that by saying that they give power to the "people".
