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3(3x+5)=7(x-4)
We move all terms to the left:
3(3x+5)-(7(x-4))=0
We multiply parentheses
9x-(7(x-4))+15=0
We calculate terms in parentheses: -(7(x-4)), so:We get rid of parentheses
7(x-4)
We multiply parentheses
7x-28
Back to the equation:
-(7x-28)
9x-7x+28+15=0
We add all the numbers together, and all the variables
2x+43=0
We move all terms containing x to the left, all other terms to the right
2x=-43
x=-43/2
x=-21+1/2
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