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5(x+3)+3(5x-2)=84
We move all terms to the left:
5(x+3)+3(5x-2)-(84)=0
We multiply parentheses
5x+15x+15-6-84=0
We add all the numbers together, and all the variables
20x-75=0
We move all terms containing x to the left, all other terms to the right
20x=75
x=75/20
x=3+3/4
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