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\left(\sqrt{3}+3\right)x=6
Combine all terms containing x.
\frac{\left(\sqrt{3}+3\right)x}{\sqrt{3}+3}=\frac{6}{\sqrt{3}+3}
Divide both sides by \sqrt{3}+3.
x=\frac{6}{\sqrt{3}+3}
Dividing by \sqrt{3}+3 undoes the multiplication by \sqrt{3}+3.
x=3-\sqrt{3}
Divide 6 by \sqrt{3}+3.