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				Both communism and fascism are all about individual lust for power.
			
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 I disagree. That's what communism inevitably descended into, in Russia but the very early stages (ie. the revolution) I don't believe were driven by lust for individual power. Hitler did have a lust for individual power right from the start. 
You state mass murder and enslavement as characterising features of both these systems in order to show that they are similar. But other non fascist and non socialist states have also engaged in those practices. That doesn't mean those states are of a similar political nature. Mass murder and enslavement are not the defining characteristics of either, but they are symptomatic of both.