To solve the equation \( 114x + 9 = 31 \), follow these steps:
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Subtract 9 from both sides of the equation:
\[ 114x + 9 - 9 = 31 - 9 \] \[ 114x = 22 \]
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Divide both sides by 114:
\[ x = \frac{22}{114} \]
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Simplify the fraction:
\[ x = \frac{11}{57} \]
Now, \( \frac{11}{57} \) does not match any of the given options. Let's check the accuracy of my simplification:
Since none of the provided answers match \( \frac{11}{57} \), it seems there may be a mistake in either the equation or the options provided.
Please double-check the equation or options. However, none of the options \( 110, -8, 8, 22 \) is the correct solution for the given equation \( 114x + 9 = 31 \).