system
Given the following post, respond as if you're commenting on Reddit:
human
ELI5: Is a socialized banking and financial infrastructure compatible with an otherwise capitalist (i.e., "free market") economy?

Related: Does privatized central banking extract a nation's wealth?

I am not an Economist, but I do understand that these are core concerns in the political arena. I think it would be beneficial if everyone had a better understanding of these top-tier governmental issues and how they relate to society.
gpt
No and no.  

Finance is ultimately about allocating capital.  If your allocation of capital is socialized, you pretty much don't have a market economy by definition. 

Extracting wealth from an economy is a pretty nonsensical phrase.  Unless you're stealing or defrauding people, you are never extracting wealth.