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6x-7=-4x+2
We move all terms to the left:
6x-7-(-4x+2)=0
We get rid of parentheses
6x+4x-2-7=0
We add all the numbers together, and all the variables
10x-9=0
We move all terms containing x to the left, all other terms to the right
10x=9
x=9/10
x=9/10
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