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7(x-2)+5(x+7)=100
We move all terms to the left:
7(x-2)+5(x+7)-(100)=0
We multiply parentheses
7x+5x-14+35-100=0
We add all the numbers together, and all the variables
12x-79=0
We move all terms containing x to the left, all other terms to the right
12x=79
x=79/12
x=6+7/12
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