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\sqrt{x+2}-9-\left(-9\right)=-\left(-9\right)
Add 9 to both sides of the equation.
\sqrt{x+2}=-\left(-9\right)
Subtracting -9 from itself leaves 0.
\sqrt{x+2}=9
Subtract -9 from 0.
x+2=81
Square both sides of the equation.
x+2-2=81-2
Subtract 2 from both sides of the equation.
x=81-2
Subtracting 2 from itself leaves 0.
x=79
Subtract 2 from 81.