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