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10x+1=13+8x
We move all terms to the left:
10x+1-(13+8x)=0
We add all the numbers together, and all the variables
10x-(8x+13)+1=0
We get rid of parentheses
10x-8x-13+1=0
We add all the numbers together, and all the variables
2x-12=0
We move all terms containing x to the left, all other terms to the right
2x=12
x=12/2
x=6
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