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7x+9=8x-1

We move all terms to the left:

7x+9-(8x-1)=0

We get rid of parentheses

7x-8x+1+9=0

We add all the numbers together, and all the variables

-1x+10=0

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

-x=-10

x=-10/-1

x=+10

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