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-13x+4=12x-6
We move all terms to the left:
-13x+4-(12x-6)=0
We get rid of parentheses
-13x-12x+6+4=0
We add all the numbers together, and all the variables
-25x+10=0
We move all terms containing x to the left, all other terms to the right
-25x=-10
x=-10/-25
x=2/5
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