\[9x-9=9\]

1
Add 99 to both sides.
9x=9+99x=9+9

2
Simplify  9+99+9  to  1818.
9x=189x=18

3
Divide both sides by 99.
x=189x=\frac{18}{9}

4
Simplify  189\frac{18}{9}  to  22.
x=2x=2

Done

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