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2-7x=-4x+17
We move all terms to the left:
2-7x-(-4x+17)=0
We get rid of parentheses
-7x+4x-17+2=0
We add all the numbers together, and all the variables
-3x-15=0
We move all terms containing x to the left, all other terms to the right
-3x=15
x=15/-3
x=-5
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