Simplify each expression.
$\frac{x-7}{7-x}$

• A. $-x$
• B. $-1$
• C. $x$
• D. $\(\frac{7}{x-7}\)$

Answer: (B)

Verified step by step guidance

1. Observe the given expression: \(\frac{x-7}{7-x}\). Notice that the numerator and denominator are very similar but reversed in order.
2. Recall that \(7 - x\) can be rewritten by factoring out a negative sign: \(7 - x = -(x - 7)\).
3. Substitute this back into the original expression to get \(\frac{x-7}{-(x-7)}\).
4. Since the numerator and denominator are now the same expression except for the negative sign in the denominator, the fraction simplifies to \(-1\).
5. Therefore, the simplified form of \(\frac{x-7}{7-x}\) is \(-1\).