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6x-7=-6x+5
We move all terms to the left:
6x-7-(-6x+5)=0
We get rid of parentheses
6x+6x-5-7=0
We add all the numbers together, and all the variables
12x-12=0
We move all terms containing x to the left, all other terms to the right
12x=12
x=12/12
x=1
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