Anarchism is traditionally viewed as far-left, but it doesn't make
much sense, since left-wing politics supposedly favours "big
government" influence.
It's just that the word's meaning has been muddied to hide what our dear leaders don't want us to see.
We're all conditioned to think of "anarchy" as "chaos".
Then we've got a bunch of shills/posers claiming they're "Anarchists" while spouting ~Marxist nonsense.
You can just keep it simple and take Anarchism to mean not having rulers. That's where the word is rooted anyway.
Note that even though we're not ruled by Kings and Emperors anymore, we do still have rulers.
Now we have something like co-rulers - whatever bunch of psychopaths happen to call the shots from behind the scenes, and to a smaller extent, the Parliament or House of Poncey Stooges With Wigs or whatever.
But in a nutshell, all it takes for anyone to be an Anarchist is understanding that no one is "more equal" than anyone else, and that includes our "leaders" (=rulers).
They don't have the moral right to impose their will on you, or anyone else. But they do it anyway, and that's wrong.
Compare:
Give me your lunch money, or I'll punch you!
and
Give us 30% of your income, or we'll imprison you!
Are you an Anarchist?