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\sqrt{9x-9}-3-\left(-3\right)=-\left(-3\right)
Add 3 to both sides of the equation.
\sqrt{9x-9}=-\left(-3\right)
Subtracting -3 from itself leaves 0.
\sqrt{9x-9}=3
Subtract -3 from 0.
9x-9=9
Square both sides of the equation.
9x-9-\left(-9\right)=9-\left(-9\right)
Add 9 to both sides of the equation.
9x=9-\left(-9\right)
Subtracting -9 from itself leaves 0.
9x=18
Subtract -9 from 9.
\frac{9x}{9}=\frac{18}{9}
Divide both sides by 9.
x=\frac{18}{9}
Dividing by 9 undoes the multiplication by 9.
x=2
Divide 18 by 9.