1. **State the problem:** Calculate the product of the two binomials $(-1 - 11)$ and $(13 - 5)$. 2. **Simplify each binomial:** $-1 - 11 = -12$ $13 - 5 = 8$ 3. **Multiply the simplified values:** $-12 \times 8 = -96$ 4. **Final answer:** $$(-1 - 11)(13 - 5) = -96$$