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\sqrt{2}x=35\sqrt{3}
The equation is in standard form.
\frac{\sqrt{2}x}{\sqrt{2}}=\frac{35\sqrt{3}}{\sqrt{2}}
Divide both sides by \sqrt{2}.
x=\frac{35\sqrt{3}}{\sqrt{2}}
Dividing by \sqrt{2} undoes the multiplication by \sqrt{2}.
x=\frac{35\sqrt{6}}{2}
Divide 35\sqrt{3} by \sqrt{2}.