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5x-8(-3x+2)=13
We move all terms to the left:
5x-8(-3x+2)-(13)=0
We multiply parentheses
5x+24x-16-13=0
We add all the numbers together, and all the variables
29x-29=0
We move all terms containing x to the left, all other terms to the right
29x=29
x=29/29
x=1
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