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7+3x+4=\frac{55}{3}
Combine x and 2x to get 3x.
11+3x=\frac{55}{3}
Add 7 and 4 to get 11.
3x=\frac{55}{3}-11
Subtract 11 from both sides.
3x=\frac{55}{3}-\frac{33}{3}
Convert 11 to fraction \frac{33}{3}.
3x=\frac{55-33}{3}
Since \frac{55}{3} and \frac{33}{3} have the same denominator, subtract them by subtracting their numerators.
3x=\frac{22}{3}
Subtract 33 from 55 to get 22.
x=\frac{\frac{22}{3}}{3}
Divide both sides by 3.
x=\frac{22}{3\times 3}
Express \frac{\frac{22}{3}}{3} as a single fraction.
x=\frac{22}{9}
Multiply 3 and 3 to get 9.