Capitalism is a system of voluntary trade that functions best when force is banished from trade, and is fully compatible with all sorts of variations of representative government (which is why all the most prosperous representative government nations utilize the free market).
Communism is the exact opposite, it can only continue to exist via extreme violence, and relies on that violence to restrict as much as possible all free action and thought by people (which inevitably includes eliminating all rights, including property rights, freedom of speech, and freedom of press; it's also why every attempt at Socialism and Communism has required a military enforced dictatorship).
Capitalist oriented economies have produced standards of living for the poor and median that tend to be a magnitude beyond what the absolute best Socialist example has ever accomplished. There has yet to be a single Socialist nation that has produced a high standard of living at the median in hundreds of years of experimenting; there are dozens of wildly prosperous Capitalistic nations that heavily utilize the free market.
Capitalistic nations: Sweden, Denmark, Netherlands, Finland, US, England, Ireland, Singapore, Australia, Canada, France, Italy, Spain, Germany, Austria, Belgium, Switzerland, Norway. They all utilize the free market mixed with welfare state policies, and not one of them is even remotely close to being Socialistic.
Socialist examples: Cambodia, Vietnam, Mao's China, Nazi Germany, Fascist Italy, Soviet Russia, Cuba, Venezuela, the Eastern Bloc states, Fascist Spain, North Korea
Nothing else could ever need to be said. The closer you get to implementing actual Socialism, the greater the destruction.
(A slogan in our country in 1970's, at USSR's neighbour.)
To me the other way around sounds like the exact same thing with communism substituted in place of capitalism.