To solve for \( x \) in the equation \( 114x + 9 = 31 \), follow these steps:
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Subtract 9 from both sides of the equation:
\[ 114x + 9 - 9 = 31 - 9 \]
This simplifies to:
\[ 114x = 22 \]
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Now, divide both sides by 114 to solve for \( x \):
\[ x = \frac{22}{114} \]
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Simplifying \( \frac{22}{114} \):
\[ x = \frac{11}{57} \]
So the solution for \( x \) is:
\[ x = \frac{11}{57} \]
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