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\left(1-\sqrt{3}\right)x=-2
Multiply both sides of the equation by 2.
\frac{\left(1-\sqrt{3}\right)x}{1-\sqrt{3}}=-\frac{2}{1-\sqrt{3}}
Divide both sides by 1-\sqrt{3}.
x=-\frac{2}{1-\sqrt{3}}
Dividing by 1-\sqrt{3} undoes the multiplication by 1-\sqrt{3}.
x=\sqrt{3}+1
Divide -2 by 1-\sqrt{3}.