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5x+3(-4x+15)=13
We move all terms to the left:
5x+3(-4x+15)-(13)=0
We multiply parentheses
5x-12x+45-13=0
We add all the numbers together, and all the variables
-7x+32=0
We move all terms containing x to the left, all other terms to the right
-7x=-32
x=-32/-7
x=4+4/7
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