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11(x-1)=7(x-5)
We move all terms to the left:
11(x-1)-(7(x-5))=0
We multiply parentheses
11x-(7(x-5))-11=0
We calculate terms in parentheses: -(7(x-5)), so:We get rid of parentheses
7(x-5)
We multiply parentheses
7x-35
Back to the equation:
-(7x-35)
11x-7x+35-11=0
We add all the numbers together, and all the variables
4x+24=0
We move all terms containing x to the left, all other terms to the right
4x=-24
x=-24/4
x=-6
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