To simplify the original equation:
\[ 32 = -25 + 9 - x + x + 7 \]
we start by combining the constants on the right side. This gives us:
\[ -25 + 9 + 7 = -25 + 16 = -9 \]
Thus, the equation simplifies to:
\[ 32 = -9 \]
Since this is not correct, we realize that the original equation does not hold true. Instead, we can affirm the true statements derived from simplifying:
- \( 32 = 32 \) (true)
- \( -9 = -9 \) (true)
So we can summarize the valid statements simply as:
Answer: \[ 32 = 32 \text{ and } -9 = -9 \]