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3x+7=7x+31
We move all terms to the left:
3x+7-(7x+31)=0
We get rid of parentheses
3x-7x-31+7=0
We add all the numbers together, and all the variables
-4x-24=0
We move all terms containing x to the left, all other terms to the right
-4x=24
x=24/-4
x=-6
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