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5(x-7)=-3(x+1)
We move all terms to the left:
5(x-7)-(-3(x+1))=0
We multiply parentheses
5x-(-3(x+1))-35=0
We calculate terms in parentheses: -(-3(x+1)), so:We get rid of parentheses
-3(x+1)
We multiply parentheses
-3x-3
Back to the equation:
-(-3x-3)
5x+3x+3-35=0
We add all the numbers together, and all the variables
8x-32=0
We move all terms containing x to the left, all other terms to the right
8x=32
x=32/8
x=4
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