If \(\frac{{3x - 1}}{x} + \frac{{5y - 1}}{y} + \frac{{7z - 1}}{z} = 0\), then what is the value of \(\frac{1}{x} + \frac{1}{y} + \frac{1}{z}?\)

1
-3
2
0
3
15
4
21

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