To simplify the expression \( x + 6 \cdot 3^2 - (2 \cdot 3) + 5 \), we first need to calculate the numeric components of the expression:
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Calculate \( 3^2 \): \[ 3^2 = 9 \]
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Calculate \( 6 \cdot 3^2 \): \[ 6 \cdot 9 = 54 \]
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Calculate \( 2 \cdot 3 \): \[ 2 \cdot 3 = 6 \]
Now we can substitute these values back into the expression: \[ x + 54 - 6 + 5 \]
Next, simplify the numeric part: \[ 54 - 6 + 5 = 48 + 5 = 53 \]
Thus, the expression simplifies to: \[ x + 53 \]
If we are looking for a denominator, it seems there may be a missing context about the denominator since the expression as it stands does not appear to have one. It's simply a polynomial expression. If this is part of a larger equation or context (for instance, a fraction), please provide that context for further clarification.
Given the answers provided, based on only the given expression without additional context, it appears there is no simplified denominator; hence none of the response options are applicable.
However, if you are looking for potential denominators related to the given options, we cannot derive a specific one from the expression \( x + 53 \) alone. If you meant to find a numeric result as if it had been divided by something, please provide more details!