As I said before, though, you might benefit from reading at the introductory section of https://en.wikipedia.org/wiki/Anarchism.
I'm not saying leftists can't exist in anarchism as some sort of pact or contract amongst leftist, in the sense of without coercive hierarchy. But I don't see how anarchism is inherently leftist. If leftism means socialism or some form of redistributing property involuntarily, that sounds coercive.
Voluntary exchange of property and capital is the opposite of coercion. It seems capitalism fits in neatly with anarchism.