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\sqrt{x-6}=25
Swap sides so that all variable terms are on the left hand side.
x-6=625
Square both sides of the equation.
x-6-\left(-6\right)=625-\left(-6\right)
Add 6 to both sides of the equation.
x=625-\left(-6\right)
Subtracting -6 from itself leaves 0.
x=631
Subtract -6 from 625.