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\sqrt{x}+\sqrt{5}\left(\sqrt{500}-\sqrt{45}\right)-\sqrt{5}\left(\sqrt{500}-\sqrt{45}\right)=40-\sqrt{5}\left(\sqrt{500}-\sqrt{45}\right)
Subtract \sqrt{5}\left(\sqrt{500}-\sqrt{45}\right) from both sides of the equation.
\sqrt{x}=40-\sqrt{5}\left(\sqrt{500}-\sqrt{45}\right)
Subtracting \sqrt{5}\left(\sqrt{500}-\sqrt{45}\right) from itself leaves 0.
\sqrt{x}=5
Subtract \sqrt{5}\left(\sqrt{500}-\sqrt{45}\right) from 40.
x=25
Square both sides of the equation.