To solve for \( x \) in the equation \( 14 = 7 \times 9 + 4x \), let's simplify the right side first:
\[ 7 \times 9 = 63 \] So the equation becomes:
\[ 14 = 63 + 4x \]
Now, we can isolate \( 4x \):
\[ 14 - 63 = 4x \] \[ -49 = 4x \]
Now, divide by 4:
\[ x = \frac{-49}{4} \]
The undefined value here refers to the values that \( x \) cannot take to avoid any contradictions or undefined expressions in the equation. Since we solved for \( x \), the only context in which a restriction is mentioned in the options is in reference to common mathematical knowledge about division by zero or other undefined operations. But in this case, there are no divisions in the equation and \( x\) is specifically solved to be \(-49/4\).
Based on the given options:
- x≠−49: this is not true; it exactly equals that.
- x does not equal Start Fraction negative 4 over 9 End Fraction: incorrect interpretation.
- x≠94: incorrect, not part of this equation.
- x does not equal Start Fraction 9 over 4 End Fraction: incorrect interpretation.
Thus, none of the options presented seem to be directly relevant to the equation or indicate any valid undefined conditions. However, defining a basic statement could align more towards common analysis when identifying variable restrictions in separate contexts, such as typical algebraic restraint.
None of the answers correctly identify an undefined value based on this equation. The simple solution is \( x = -\frac{49}{4} \).