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\sqrt{4x-27}-1-\left(-1\right)=4-\left(-1\right)
Add 1 to both sides of the equation.
\sqrt{4x-27}=4-\left(-1\right)
Subtracting -1 from itself leaves 0.
\sqrt{4x-27}=5
Subtract -1 from 4.
4x-27=25
Square both sides of the equation.
4x-27-\left(-27\right)=25-\left(-27\right)
Add 27 to both sides of the equation.
4x=25-\left(-27\right)
Subtracting -27 from itself leaves 0.
4x=52
Subtract -27 from 25.
\frac{4x}{4}=\frac{52}{4}
Divide both sides by 4.
x=\frac{52}{4}
Dividing by 4 undoes the multiplication by 4.
x=13
Divide 52 by 4.