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4x+3x+x+7=7x+6
We move all terms to the left:
4x+3x+x+7-(7x+6)=0
We add all the numbers together, and all the variables
8x-(7x+6)+7=0
We get rid of parentheses
8x-7x-6+7=0
We add all the numbers together, and all the variables
x+1=0
We move all terms containing x to the left, all other terms to the right
x=-1
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