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\sqrt{10x-1}-6-\left(-6\right)=1-\left(-6\right)
Add 6 to both sides of the equation.
\sqrt{10x-1}=1-\left(-6\right)
Subtracting -6 from itself leaves 0.
\sqrt{10x-1}=7
Subtract -6 from 1.
10x-1=49
Square both sides of the equation.
10x-1-\left(-1\right)=49-\left(-1\right)
Add 1 to both sides of the equation.
10x=49-\left(-1\right)
Subtracting -1 from itself leaves 0.
10x=50
Subtract -1 from 49.
\frac{10x}{10}=\frac{50}{10}
Divide both sides by 10.
x=\frac{50}{10}
Dividing by 10 undoes the multiplication by 10.
x=5
Divide 50 by 10.