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9(6x+7)+4(20x-12)+78=15(9x+13)-7(6x-3)
We move all terms to the left:
9(6x+7)+4(20x-12)+78-(15(9x+13)-7(6x-3))=0
We multiply parentheses
54x+80x-(15(9x+13)-7(6x-3))+63-48+78=0
We calculate terms in parentheses: -(15(9x+13)-7(6x-3)), so:We add all the numbers together, and all the variables
15(9x+13)-7(6x-3)
We multiply parentheses
135x-42x+195+21
We add all the numbers together, and all the variables
93x+216
Back to the equation:
-(93x+216)
134x-(93x+216)+93=0
We get rid of parentheses
134x-93x-216+93=0
We add all the numbers together, and all the variables
41x-123=0
We move all terms containing x to the left, all other terms to the right
41x=123
x=123/41
x=3
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