To rewrite the equation \( 32 = -25 + 9 - \frac{x}{x} + 7 \) as two equations joined by "and", we need to isolate the equation and address the restrictions on \( x \).
First, observe that \( - \frac{x}{x} \) is defined for \( x \neq 0 \). Therefore, we have the condition that \( x \neq 0 \).
Now, if we simplify the left-hand side of the original equation:
- Combine the constants: \[ -25 + 9 + 7 = -25 + 16 = -9 \]
- Rewrite the equation: \[ 32 = -9 - \frac{x}{x} \]
- For \( x \neq 0 \), we can simplify this to: \[ 32 = -9 - 1 \quad \text{if } x > 0 \quad (\text{when } x = 1) \] \[ 32 = -9 + 1 \quad \text{if } x < 0 \quad (\text{when } x = -1) \]
Now, taking all restrictions into account, we can express it as: \[ 32 = -25 + 9 - \frac{x}{x} + 7 \quad \text{and} \quad x \neq 0 \]
Since the answer options do not mention \( x \neq 0 \) but rather list specific numbers, the best logical association would be to ensure that \( x \) cannot equal any options listed: Among the options and the way these restrictions are framed, we cannot directly finalize based on unrelated values.
However, it seems to be that the closest match in presenting the equation along with some restriction would lead us to isolate something among the given options to satisfy the final solution.
Focusing back to the options:
- None of these have \( x \neq 0 \)
- It does not change stating that it might lead us to focus out since it restricts each misaligned value with what we initially set.
Thus, breaking down what's available:
- Since \( x \neq 7 \), etc., wouldn't apply without direct relevance to values laid.
Therefore, none strictly align with a simplified condition solidly: The choice with correct intent will stand to guide as a conditional on \( x \).
From the passage considered, we conclude that without specifics:
- The answer stands as \( 32 = -25 + 9 - \frac{x}{x} + 7\) and \( x \) shouldn't be variable but isn't a direct link offered.
Final verification doesn't lead to an option; hence none satisfy the foundation for what we're discussing.
Thus none of these restrict as suitable accurately in encompassing what we need framed up properly toward limitations existing from the equation simplified discourse.