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7(4x+10)=84
We move all terms to the left:
7(4x+10)-(84)=0
We multiply parentheses
28x+70-84=0
We add all the numbers together, and all the variables
28x-14=0
We move all terms containing x to the left, all other terms to the right
28x=14
x=14/28
x=1/2
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