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-(-9x+1)=10

We move all terms to the left:

-(-9x+1)-(10)=0

We get rid of parentheses

9x-1-10=0

We add all the numbers together, and all the variables

9x-11=0

We move all terms containing x to the left, all other terms to the right

9x=11

x=11/9

x=1+2/9

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