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\left(\sqrt{3}+1\right)x=\sqrt{3}
The equation is in standard form.
\frac{\left(\sqrt{3}+1\right)x}{\sqrt{3}+1}=\frac{\sqrt{3}}{\sqrt{3}+1}
Divide both sides by 1+\sqrt{3}.
x=\frac{\sqrt{3}}{\sqrt{3}+1}
Dividing by 1+\sqrt{3} undoes the multiplication by 1+\sqrt{3}.
x=\frac{3-\sqrt{3}}{2}
Divide \sqrt{3} by 1+\sqrt{3}.