To solve the equation \( 31 - 9x = 4 \), we start by isolating \( x \):
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Subtract 31 from both sides:
\[ 31 - 9x - 31 = 4 - 31 \]
This simplifies to:
\[ -9x = -27 \]
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Divide both sides by -9:
\[ x = \frac{-27}{-9} = 3 \]
Thus, the solution to the equation is \( x = 3 \).
In set notation, this can be expressed as:
\[ { 3 } \]
So, the correct set notation for the solution set is \( { 3 } \).