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\frac{9}{2}x=27
Combine 4x and \frac{1}{2}x to get \frac{9}{2}x.
x=27\times \frac{2}{9}
Multiply both sides by \frac{2}{9}, the reciprocal of \frac{9}{2}.
x=\frac{27\times 2}{9}
Express 27\times \frac{2}{9} as a single fraction.
x=\frac{54}{9}
Multiply 27 and 2 to get 54.
x=6
Divide 54 by 9 to get 6.