Fascism and (Marxist) socialism are sisters. Close sisters. Both are fundamentally about controlling the economy in a quest for a greater “good.” They have important differences which are more than stylistic differences. But both are fundamentally opposed to free markets, free prices, and fundamentally the free will of individuals. At least most individuals.
What is “socialism” and what is “fascism” is a point of ongoing debate on this site. Invariably someone posts a meme which purports to define fascism as what we see it in the movies. See, FDR and Obama can’t have fascist tendencies. (In FDR’s case it was probably more than just a tendency.) They don’t (didn’t) wear jack boots and goose step around the White House. Fascists have a look. They are “right-wing.” (Right and Left as we know them in this country really are vestiges of another time and are less and less useful.)
But fascism is not about a look. It is about state control of a nominally private economy. And most of the fascists I know of tend(ed) not to watch Triumph of the Will on loop. Many look(ed) perfectly respectable. I forgot who said it, but it is true that the most dangerous fascist of all may prefer tweed jackets to arm bands and over-starched shirts.