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