Let's distribute the numbers outside the parentheses in each expression:

1. $3(x + 4) = 3x + 12$
2. $5(x - 2) = 5x - 10$
3. $2(3x + 7) = 6x + 14$
4. $4(2x - 3) = 8x - 12$
5. $-3(x + 5) = -3x - 15$
6. $6(-x + 2) = -6x + 12$
7. $-2(5x - 1) = -10x + 2$
8. $7(3x + 4) = 21x + 28$

Would you like further explanations on any of these steps?

Here are 5 related questions for practice:

1. What happens if you distribute a negative number into parentheses?
2. How do you combine like terms after distribution?
3. Can you factor the expression $12x + 36$?
4. What is the result of distributing $2(x - 3) - 4(2x + 1)$?
5. How does the distributive property work with fractions?

Tip: Always double-check signs when distributing negative numbers.