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\sqrt{7}-x-x=-1
Subtract x from both sides.
\sqrt{7}-2x=-1
Combine -x and -x to get -2x.
-2x=-1-\sqrt{7}
Subtract \sqrt{7} from both sides.
-2x=-\sqrt{7}-1
The equation is in standard form.
\frac{-2x}{-2}=\frac{-\sqrt{7}-1}{-2}
Divide both sides by -2.
x=\frac{-\sqrt{7}-1}{-2}
Dividing by -2 undoes the multiplication by -2.
x=\frac{\sqrt{7}+1}{2}
Divide -1-\sqrt{7} by -2.