The correct way to rewrite the equation \( 32 = -25 + \frac{9 - x}{x + 7} \) as two equations joined by "and" is:
\[ 32 = -25 + \frac{9 - x}{x + 7} \text{ and } x \neq -7. \]
Thus, the correct response is:
32 equals negative 25 plus Start Fraction 9 minus x over x plus 7 End Fraction and x does not equal negative 7.