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7(2x-3)+2(x+1)-5(x-9)=3x+1
We move all terms to the left:
7(2x-3)+2(x+1)-5(x-9)-(3x+1)=0
We multiply parentheses
14x+2x-5x-(3x+1)-21+2+45=0
We get rid of parentheses
14x+2x-5x-3x-1-21+2+45=0
We add all the numbers together, and all the variables
8x+25=0
We move all terms containing x to the left, all other terms to the right
8x=-25
x=-25/8
x=-3+1/8
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