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1.5(x-7)=15
We move all terms to the left:
1.5(x-7)-(15)=0
We multiply parentheses
1.5x-10.5-15=0
We add all the numbers together, and all the variables
1.5x-25.5=0
We move all terms containing x to the left, all other terms to the right
1.5x=25.5
x=25.5/1.5
x=17
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