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6(7x+7)=7(5x+5)
We move all terms to the left:
6(7x+7)-(7(5x+5))=0
We multiply parentheses
42x-(7(5x+5))+42=0
We calculate terms in parentheses: -(7(5x+5)), so:We get rid of parentheses
7(5x+5)
We multiply parentheses
35x+35
Back to the equation:
-(35x+35)
42x-35x-35+42=0
We add all the numbers together, and all the variables
7x+7=0
We move all terms containing x to the left, all other terms to the right
7x=-7
x=-7/7
x=-1
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