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6(5x-7)=-31(9-x)
We move all terms to the left:
6(5x-7)-(-31(9-x))=0
We add all the numbers together, and all the variables
6(5x-7)-(-31(-1x+9))=0
We multiply parentheses
30x-(-31(-1x+9))-42=0
We calculate terms in parentheses: -(-31(-1x+9)), so:We get rid of parentheses
-31(-1x+9)
We multiply parentheses
31x-279
Back to the equation:
-(31x-279)
30x-31x+279-42=0
We add all the numbers together, and all the variables
-1x+237=0
We move all terms containing x to the left, all other terms to the right
-x=-237
x=-237/-1
x=+237
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