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\sqrt{3}x+4+2\sqrt{3}x=1
Add 2\sqrt{3}x to both sides.
3\sqrt{3}x+4=1
Combine \sqrt{3}x and 2\sqrt{3}x to get 3\sqrt{3}x.
3\sqrt{3}x=1-4
Subtract 4 from both sides.
3\sqrt{3}x=-3
Subtract 4 from 1 to get -3.
\frac{3\sqrt{3}x}{3\sqrt{3}}=-\frac{3}{3\sqrt{3}}
Divide both sides by 3\sqrt{3}.
x=-\frac{3}{3\sqrt{3}}
Dividing by 3\sqrt{3} undoes the multiplication by 3\sqrt{3}.
x=-\frac{\sqrt{3}}{3}
Divide -3 by 3\sqrt{3}.