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3(x-9)+6=5(3x-25)+4(6-x)
We move all terms to the left:
3(x-9)+6-(5(3x-25)+4(6-x))=0
We add all the numbers together, and all the variables
3(x-9)-(5(3x-25)+4(-1x+6))+6=0
We multiply parentheses
3x-(5(3x-25)+4(-1x+6))-27+6=0
We calculate terms in parentheses: -(5(3x-25)+4(-1x+6)), so:We add all the numbers together, and all the variables
5(3x-25)+4(-1x+6)
We multiply parentheses
15x-4x-125+24
We add all the numbers together, and all the variables
11x-101
Back to the equation:
-(11x-101)
3x-(11x-101)-21=0
We get rid of parentheses
3x-11x+101-21=0
We add all the numbers together, and all the variables
-8x+80=0
We move all terms containing x to the left, all other terms to the right
-8x=-80
x=-80/-8
x=+10
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