1. **State the problems:** - Problem 1: Find the value of $$-\frac{1}{2} \times -\frac{1}{3} \times 12$$ in simplest form. - Problem 2: Solve for $$x$$ in the equation $$2(x - 2) = 4x - 13$$ and express the answer to the nearest tenth. 2. **Problem 1: Calculate the product** Formula: Multiply fractions and integers by multiplying numerators and denominators. $$-\frac{1}{2} \times -\frac{1}{3} \times 12 = ?$$ Step 1: Multiply the first two fractions: $$-\frac{1}{2} \times -\frac{1}{3} = \frac{1}{6}$$ Step 2: Multiply the result by 12: $$\frac{1}{6} \times 12 = 2$$ So, the value is $$2$$. 3. **Problem 2: Solve for $$x$$** Given equation: $$2(x - 2) = 4x - 13$$ Step 1: Expand the left side: $$2x - 4 = 4x - 13$$ Step 2: Move all $$x$$ terms to one side and constants to the other: $$2x - 4x = -13 + 4$$ $$\cancel{2x} - 4x = -9$$ $$-2x = -9$$ Step 3: Divide both sides by $$-2$$: $$x = \frac{-9}{-2}$$ $$x = \cancel{\frac{-9}{-2}} = 4.5$$ Answer to the nearest tenth is $$4.5$$. 4. **Check correctness:** - Problem 1 answer given was $$-360$$ which is incorrect; correct answer is $$2$$. - Problem 2 answer is $$4.5$$ which is correct.