To determine the undefined values for the equation \( 14 = 7 \cdot 9 + 4x \), we first need to simplify the equation and isolate \( x \).
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Calculate \( 7 \cdot 9 \): \[ 7 \cdot 9 = 63 \]
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Substitute this back into the equation: \[ 14 = 63 + 4x \]
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Rearranging the equation to solve for \( x \): \[ 4x = 14 - 63 \] \[ 4x = -49 \]
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Now divide both sides by 4: \[ x = \frac{-49}{4} \]
The question seems to be asking for values of \( x \) that cannot make the original equation valid. However, in this case, there are no restrictions placed on \( x \) other than that resulting from the solution we found.
Thus, \( x \) does not have any restrictions from this equation (for instance, it does not lead to any undefined operations such as division by zero). The expression would be valid for any real number.
Since the answer choices also include a specific value \( \frac{-49}{4} \) or constraints that might refer to other types of equations, but none here is directly apparent, select based on the values provided.
The closest choice that indicates a specific exclusion from the equation based on the problem-solving context would be that:
- x does not equal \( \frac{-49}{4} \) if the question pertains to solutions excluding the calculated solution, but this answer is actually part of the defined set rather than undefined mathematically.
If you see listings of undefined conditions relevant here, none would technically be valid from the context of the equation presented.
Please recheck your initial question context or selections; you might be looking for specific undefined forms arising from shared mathematical types, but there's nothing undefined in the solution derived here.