To solve the inequality \( 15 + x \leq 24 \), we need to isolate the variable \( x \).
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Subtract 15 from both sides of the inequality: \[ 15 + x - 15 \leq 24 - 15 \]
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This simplifies to: \[ x \leq 9 \]
So, the inequality is \( x \leq 9 \).
Thus, the final answer will be: \( x \leq 9 \).