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\sqrt{x-12}-11-\left(-11\right)=-\left(-11\right)
Add 11 to both sides of the equation.
\sqrt{x-12}=-\left(-11\right)
Subtracting -11 from itself leaves 0.
\sqrt{x-12}=11
Subtract -11 from 0.
x-12=121
Square both sides of the equation.
x-12-\left(-12\right)=121-\left(-12\right)
Add 12 to both sides of the equation.
x=121-\left(-12\right)
Subtracting -12 from itself leaves 0.
x=133
Subtract -12 from 121.