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6(x-7)=-3(4-x)
We move all terms to the left:
6(x-7)-(-3(4-x))=0
We add all the numbers together, and all the variables
6(x-7)-(-3(-1x+4))=0
We multiply parentheses
6x-(-3(-1x+4))-42=0
We calculate terms in parentheses: -(-3(-1x+4)), so:We get rid of parentheses
-3(-1x+4)
We multiply parentheses
3x-12
Back to the equation:
-(3x-12)
6x-3x+12-42=0
We add all the numbers together, and all the variables
3x-30=0
We move all terms containing x to the left, all other terms to the right
3x=30
x=30/3
x=10
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