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\frac{156\sqrt{x}}{156}=\frac{166}{156}
Divide both sides by 156.
\sqrt{x}=\frac{166}{156}
Dividing by 156 undoes the multiplication by 156.
\sqrt{x}=\frac{83}{78}
Reduce the fraction \frac{166}{156} to lowest terms by extracting and canceling out 2.
x=\frac{6889}{6084}
Square both sides of the equation.