Find x

Algebra Level 3

Find the number of real values of x satisfying

\( \bigg [ \frac{3x - 1}{4} \bigg ] + \bigg [ \frac{3x - 1}{2} \bigg ] + \bigg [ \frac{3x + 1}{4} \bigg ] = \frac{ 6x + 3}{4} \)

[.] denotes greatest integer function

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