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\sqrt{7}x-1-3\sqrt{7}x=0
Subtract 3\sqrt{7}x from both sides.
-2\sqrt{7}x-1=0
Combine \sqrt{7}x and -3\sqrt{7}x to get -2\sqrt{7}x.
-2\sqrt{7}x=1
Add 1 to both sides. Anything plus zero gives itself.
\left(-2\sqrt{7}\right)x=1
The equation is in standard form.
\frac{\left(-2\sqrt{7}\right)x}{-2\sqrt{7}}=\frac{1}{-2\sqrt{7}}
Divide both sides by -2\sqrt{7}.
x=\frac{1}{-2\sqrt{7}}
Dividing by -2\sqrt{7} undoes the multiplication by -2\sqrt{7}.
x=-\frac{\sqrt{7}}{14}
Divide 1 by -2\sqrt{7}.