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7(5x-4)=x+14-8x
We move all terms to the left:
7(5x-4)-(x+14-8x)=0
We add all the numbers together, and all the variables
7(5x-4)-(-7x+14)=0
We multiply parentheses
35x-(-7x+14)-28=0
We get rid of parentheses
35x+7x-14-28=0
We add all the numbers together, and all the variables
42x-42=0
We move all terms containing x to the left, all other terms to the right
42x=42
x=42/42
x=1
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