\[-9x+1=-80\]

1
Subtract 11 from both sides.
9x=801-9x=-80-1

2
Simplify  801-80-1  to  81-81.
9x=81-9x=-81

3
Divide both sides by 9-9.
x=819x=\frac{-81}{-9}

4
Two negatives make a positive.
x=819x=\frac{81}{9}

5
Simplify  819\frac{81}{9}  to  99.
x=9x=9

Done

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