To find the undefined value for the equation \( 14 = 7 \times 9 + 4x \), we first simplify the equation.
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Calculate \( 7 \times 9 \): \[ 7 \times 9 = 63 \]
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Substitute this value into the equation: \[ 14 = 63 + 4x \]
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Rearrange the equation to isolate \( x \): \[ 4x = 14 - 63 \] \[ 4x = -49 \]
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Now, solve for \( x \): \[ x = \frac{-49}{4} \]
The expression \( x \) can take on any value except for the calculated \(-\frac{49}{4}\). Thus, the undefined value for this equation is when \( x = -\frac{49}{4} \).
However, looking at the response options provided, let’s assess each one quickly:
- \( x \neq -49 \) (not relevant, as it's not undefined)
- \( x \neq -\frac{4}{9} \) (not relevant)
- \( x \neq \frac{9}{4} \) (not relevant)
- \( x \neq 0 \) (not relevant)
Since none of the options fit with the calculated undefined value of \( x = -\frac{49}{4} \), none of the options accurately represent the undefined value in this context.
If you are required to choose an option, you might want to highlight the discrepancy or mark it as "none of the above" based on what you actually calculated.
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