If \(\frac{{3x - 4}}{3} + \frac{{2x + 1}}{2} = x + \frac{7}{6}\), then the value of \(\frac{{5x - 1}}{4}\) is:

1
\(\frac{{9}}{4}\)
2
\(-\frac{{1}}{4}\)
3
\(-\frac{{9}}{4}\)
4
\(\frac{{1}}{4}\)

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