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3x+3+\frac{3}{4}x=6
Add \frac{3}{4}x to both sides.
\frac{15}{4}x+3=6
Combine 3x and \frac{3}{4}x to get \frac{15}{4}x.
\frac{15}{4}x=6-3
Subtract 3 from both sides.
\frac{15}{4}x=3
Subtract 3 from 6 to get 3.
x=3\times \frac{4}{15}
Multiply both sides by \frac{4}{15}, the reciprocal of \frac{15}{4}.
x=\frac{3\times 4}{15}
Express 3\times \frac{4}{15} as a single fraction.
x=\frac{12}{15}
Multiply 3 and 4 to get 12.
x=\frac{4}{5}
Reduce the fraction \frac{12}{15} to lowest terms by extracting and canceling out 3.