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3x+7=5x+6
We move all terms to the left:
3x+7-(5x+6)=0
We get rid of parentheses
3x-5x-6+7=0
We add all the numbers together, and all the variables
-2x+1=0
We move all terms containing x to the left, all other terms to the right
-2x=-1
x=-1/-2
x=1/2
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