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\frac{\left(\sqrt{35}+3\right)x}{\sqrt{35}+3}=\frac{150}{\sqrt{35}+3}
Divide both sides by \sqrt{35}+3.
x=\frac{150}{\sqrt{35}+3}
Dividing by \sqrt{35}+3 undoes the multiplication by \sqrt{35}+3.
x=\frac{75\sqrt{35}-225}{13}
Divide 150 by \sqrt{35}+3.