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\left(4\sqrt{3}-3\right)x=-2
Combine all terms containing x.
\frac{\left(4\sqrt{3}-3\right)x}{4\sqrt{3}-3}=-\frac{2}{4\sqrt{3}-3}
Divide both sides by 4\sqrt{3}-3.
x=-\frac{2}{4\sqrt{3}-3}
Dividing by 4\sqrt{3}-3 undoes the multiplication by 4\sqrt{3}-3.
x=-\frac{8\sqrt{3}}{39}-\frac{2}{13}
Divide -2 by 4\sqrt{3}-3.