1.	3(x+4)
2.	5(x−2)
3.	2(3x+7)
4.	4(2x−3)
5.	−3(x+5)
6.	6(−x+2)
7.	−2(5x−1)
8.	7(3x+4)

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.

1. 3(x+4)
2. 5(x−2)
3. 2(3x+7)
4. 4(2x−3)
5. −3(x+5)
6. 6(−x+2)
7. −2(5x−1)
8. 7(3x+4)

Learn how to simplify expressions like 3(x + 4) and 5(x - 2) using the distributive property. This step-by-step solution explains key algebraic concepts for students in Grades 6-8, including distributing constants and simplifying linear expressions.

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