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\sqrt{x+3}-7-\left(-7\right)=-\left(-7\right)
Add 7 to both sides of the equation.
\sqrt{x+3}=-\left(-7\right)
Subtracting -7 from itself leaves 0.
\sqrt{x+3}=7
Subtract -7 from 0.
x+3=49
Square both sides of the equation.
x+3-3=49-3
Subtract 3 from both sides of the equation.
x=49-3
Subtracting 3 from itself leaves 0.
x=46
Subtract 3 from 49.