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7(x+5x)=11(x-15)
We move all terms to the left:
7(x+5x)-(11(x-15))=0
We add all the numbers together, and all the variables
7(+6x)-(11(x-15))=0
We multiply parentheses
42x-(11(x-15))=0
We calculate terms in parentheses: -(11(x-15)), so:We get rid of parentheses
11(x-15)
We multiply parentheses
11x-165
Back to the equation:
-(11x-165)
42x-11x+165=0
We add all the numbers together, and all the variables
31x+165=0
We move all terms containing x to the left, all other terms to the right
31x=-165
x=-165/31
x=-5+10/31
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