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-\sqrt{3}x-3x=-150
Reorder the terms.
\left(-\sqrt{3}-3\right)x=-150
Combine all terms containing x.
\frac{\left(-\sqrt{3}-3\right)x}{-\sqrt{3}-3}=-\frac{150}{-\sqrt{3}-3}
Divide both sides by -\sqrt{3}-3.
x=-\frac{150}{-\sqrt{3}-3}
Dividing by -\sqrt{3}-3 undoes the multiplication by -\sqrt{3}-3.
x=75-25\sqrt{3}
Divide -150 by -\sqrt{3}-3.