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\left(3\sqrt{3}-6\right)x=18\sqrt{3}
Combine all terms containing x.
\frac{\left(3\sqrt{3}-6\right)x}{3\sqrt{3}-6}=\frac{18\sqrt{3}}{3\sqrt{3}-6}
Divide both sides by 3\sqrt{3}-6.
x=\frac{18\sqrt{3}}{3\sqrt{3}-6}
Dividing by 3\sqrt{3}-6 undoes the multiplication by 3\sqrt{3}-6.
x=-12\sqrt{3}-18
Divide 18\sqrt{3} by 3\sqrt{3}-6.