1. **State the problem:** Simplify the expression $$\frac{3x - 1}{1 - 3x}$$. 2. **Recall the rule:** When you have a fraction with a numerator and denominator that are negatives or rearrangements of each other, you can factor out a negative sign to simplify. 3. **Rewrite the denominator:** Notice that $$1 - 3x = -(3x - 1)$$ because $$-(3x - 1) = -3x + 1 = 1 - 3x$$. 4. **Substitute:** Replace the denominator with $$-(3x - 1)$$: $$\frac{3x - 1}{1 - 3x} = \frac{3x - 1}{-(3x - 1)}$$ 5. **Simplify:** The numerator and denominator are the same except for the negative sign in the denominator, so the fraction simplifies to: $$-1$$ **Final answer:** $$\boxed{-1}$$