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\sqrt{x+5}-1-\left(-1\right)=-\left(-1\right)
Add 1 to both sides of the equation.
\sqrt{x+5}=-\left(-1\right)
Subtracting -1 from itself leaves 0.
\sqrt{x+5}=1
Subtract -1 from 0.
x+5=1
Square both sides of the equation.
x+5-5=1-5
Subtract 5 from both sides of the equation.
x=1-5
Subtracting 5 from itself leaves 0.
x=-4
Subtract 5 from 1.