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