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4(3x+7)=5(x+35)
We move all terms to the left:
4(3x+7)-(5(x+35))=0
We multiply parentheses
12x-(5(x+35))+28=0
We calculate terms in parentheses: -(5(x+35)), so:We get rid of parentheses
5(x+35)
We multiply parentheses
5x+175
Back to the equation:
-(5x+175)
12x-5x-175+28=0
We add all the numbers together, and all the variables
7x-147=0
We move all terms containing x to the left, all other terms to the right
7x=147
x=147/7
x=21
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