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-7(7-3x)=4(x+9)
We move all terms to the left:
-7(7-3x)-(4(x+9))=0
We add all the numbers together, and all the variables
-7(-3x+7)-(4(x+9))=0
We multiply parentheses
21x-(4(x+9))-49=0
We calculate terms in parentheses: -(4(x+9)), so:We get rid of parentheses
4(x+9)
We multiply parentheses
4x+36
Back to the equation:
-(4x+36)
21x-4x-36-49=0
We add all the numbers together, and all the variables
17x-85=0
We move all terms containing x to the left, all other terms to the right
17x=85
x=85/17
x=5
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