\[10x-10=1\]

1
Add 1010 to both sides.
10x=1+1010x=1+10

2
Simplify  1+101+10  to  1111.
10x=1110x=11

3
Divide both sides by 1010.
x=1110x=\frac{11}{10}

Done

Decimal Form: 1.1

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