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3\sqrt{3}x=9-7
Subtract 7 from both sides.
3\sqrt{3}x=2
Subtract 7 from 9 to get 2.
\frac{3\sqrt{3}x}{3\sqrt{3}}=\frac{2}{3\sqrt{3}}
Divide both sides by 3\sqrt{3}.
x=\frac{2}{3\sqrt{3}}
Dividing by 3\sqrt{3} undoes the multiplication by 3\sqrt{3}.
x=\frac{2\sqrt{3}}{9}
Divide 2 by 3\sqrt{3}.