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2x-3x-7=x+1
We move all terms to the left:
2x-3x-7-(x+1)=0
We add all the numbers together, and all the variables
-1x-(x+1)-7=0
We get rid of parentheses
-1x-x-1-7=0
We add all the numbers together, and all the variables
-2x-8=0
We move all terms containing x to the left, all other terms to the right
-2x=8
x=8/-2
x=-4
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