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\sqrt{7}x=\frac{36}{49}
Square both sides of the equation.
\frac{\sqrt{7}x}{\sqrt{7}}=\frac{\frac{36}{49}}{\sqrt{7}}
Divide both sides by \sqrt{7}.
x=\frac{\frac{36}{49}}{\sqrt{7}}
Dividing by \sqrt{7} undoes the multiplication by \sqrt{7}.
x=\frac{36\sqrt{7}}{343}
Divide \frac{36}{49} by \sqrt{7}.