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\left(x+7\right)^{2}-11+11=11
Add 11 to both sides of the equation.
\left(x+7\right)^{2}=11
Subtracting 11 from itself leaves 0.
x+7=\sqrt{11} x+7=-\sqrt{11}
Take the square root of both sides of the equation.
x+7-7=\sqrt{11}-7 x+7-7=-\sqrt{11}-7
Subtract 7 from both sides of the equation.
x=\sqrt{11}-7 x=-\sqrt{11}-7
Subtracting 7 from itself leaves 0.