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8x-41=13x-6
We move all terms to the left:
8x-41-(13x-6)=0
We get rid of parentheses
8x-13x+6-41=0
We add all the numbers together, and all the variables
-5x-35=0
We move all terms containing x to the left, all other terms to the right
-5x=35
x=35/-5
x=-7
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