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3x-3+\frac{2}{3}x=41
Combine 2x and x to get 3x.
\frac{11}{3}x-3=41
Combine 3x and \frac{2}{3}x to get \frac{11}{3}x.
\frac{11}{3}x=41+3
Add 3 to both sides.
\frac{11}{3}x=44
Add 41 and 3 to get 44.
x=44\times \frac{3}{11}
Multiply both sides by \frac{3}{11}, the reciprocal of \frac{11}{3}.
x=\frac{44\times 3}{11}
Express 44\times \frac{3}{11} as a single fraction.
x=\frac{132}{11}
Multiply 44 and 3 to get 132.
x=12
Divide 132 by 11 to get 12.