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5x+2(x-9)=52
We move all terms to the left:
5x+2(x-9)-(52)=0
We multiply parentheses
5x+2x-18-52=0
We add all the numbers together, and all the variables
7x-70=0
We move all terms containing x to the left, all other terms to the right
7x=70
x=70/7
x=10
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