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5x+2=-7x+14
We move all terms to the left:
5x+2-(-7x+14)=0
We get rid of parentheses
5x+7x-14+2=0
We add all the numbers together, and all the variables
12x-12=0
We move all terms containing x to the left, all other terms to the right
12x=12
x=12/12
x=1
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