To solve the equation \(-9 - 23x = 1\), we can isolate \(x\) by following these steps:
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Add 9 to both sides of the equation:
\[ -23x = 1 + 9 \] \[ -23x = 10 \]
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Now, divide both sides by -23:
\[ x = \frac{10}{-23} \] \[ x = -\frac{10}{23} \]
None of the provided options (x=10, x=−8, x=−15, x=15) match the solution. Therefore, the answer is \(x = -\frac{10}{23}\).
If any of those options were supposed to represent approximate answers or if further alternatives were to be considered, please clarify!