1. **Problem statement:** Simplify the expression $$4(3x - 1) + 6(-x - 3)$$ and find which option matches the result. 2. **Distribute the constants:** $$4(3x - 1) = 4 \times 3x - 4 \times 1 = 12x - 4$$ $$6(-x - 3) = 6 \times (-x) + 6 \times (-3) = -6x - 18$$ 3. **Add the two results:** $$12x - 4 + (-6x - 18) = 12x - 4 - 6x - 18$$ 4. **Combine like terms:** $$12x - 6x = \cancel{12x} - \cancel{6x} = 6x$$ $$-4 - 18 = -22$$ 5. **Final simplified expression:** $$6x - 22$$ 6. **Match with options:** Option B is $$6x - 22$$. **Answer:** B) 6x - 22