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-4(3x+1)=8x-2
We move all terms to the left:
-4(3x+1)-(8x-2)=0
We multiply parentheses
-12x-(8x-2)-4=0
We get rid of parentheses
-12x-8x+2-4=0
We add all the numbers together, and all the variables
-20x-2=0
We move all terms containing x to the left, all other terms to the right
-20x=2
x=2/-20
x=-1/10
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