1. The problem is to simplify the polynomial expression by distributing the factor outside the parentheses to each term inside the parentheses. 2. The general formula for distribution is $a(b + c) = ab + ac$. This means you multiply the term outside the parentheses by each term inside. 3. Let's simplify the first expression: $-6(7x - 1)$. 4. Multiply $-6$ by $7x$: $$-6 \times 7x = -42x$$ 5. Multiply $-6$ by $-1$: $$-6 \times -1 = 6$$ 6. Combine the results: $$-42x + 6$$ 7. So, the simplified form of $-6(7x - 1)$ is $$\boxed{-42x + 6}$$. This process applies similarly to all other expressions in the table.