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2(4x)=7x+7
We move all terms to the left:
2(4x)-(7x+7)=0
We get rid of parentheses
24x-7x-7=0
We add all the numbers together, and all the variables
17x-7=0
We move all terms containing x to the left, all other terms to the right
17x=7
x=7/17
x=7/17
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