To solve the equation \( 25x + 4 = 15 \), follow these steps:
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Subtract 4 from both sides: \[ 25x = 15 - 4 \] \[ 25x = 11 \]
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Divide both sides by 25: \[ x = \frac{11}{25} \]
Now, let's compare our solution \( \frac{11}{25} \) to the given options:
- \(-192\)
- \(-\frac{19}{2}\)
- \(-\frac{38}{25}\)
- \(\frac{21}{2}\)
- \(-\frac{2}{19}\)
None of the provided responses match \( \frac{11}{25} \). Therefore, none of the given responses are correct for the equation \( 25x + 4 = 15 \).
The correct solution is \( \frac{11}{25} \).