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3x-6=4-7x=
We move all terms to the left:
3x-6-(4-7x)=0
We add all the numbers together, and all the variables
3x-(-7x+4)-6=0
We get rid of parentheses
3x+7x-4-6=0
We add all the numbers together, and all the variables
10x-10=0
We move all terms containing x to the left, all other terms to the right
10x=10
x=10/10
x=1
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