To solve the equation \( 5x + (9 + 24) = (__ + __) + 24 \), let's first simplify the left side.
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Calculate \( 9 + 24 \): \[ 9 + 24 = 33 \] So the equation becomes: \[ 5x + 33 = (__ + __) + 24 \]
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Rearrange the equation to isolate \( (__ + __) \): \[ 5x + 33 - 24 = __ + __ \] Simplifying gives: \[ 5x + 9 = __ + __ \]
Now, we need to fill in the blanks. The simplest choice is to split \( 5x + 9 \) into two parts.
One possible way to express this is:
- Let \( __ = 5x \) and \( __ = 9 \).
Thus, we get: \[ 5x + 9 = (5x) + (9) \]
So, the completed equation is: \[ 5x + (9 + 24) = (5x + 9) + 24 \]
Therefore, the answer to fill in the blanks is: \[ 5x \quad \text{and} \quad 9 \]