Simplify the expression: 4(x - 2) + 3(x + 1).

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Multiple Choice

Simplify the expression: 4(x - 2) + 3(x + 1).

Explanation:
To simplify the expression 4(x - 2) + 3(x + 1), you can begin by distributing the constants 4 and 3 to each term inside the parentheses. First, apply the distributive property: - Multiply 4 by each term in (x - 2): - 4 * x = 4x - 4 * -2 = -8 So, 4(x - 2) becomes 4x - 8. Next, do the same for 3(x + 1): - 3 * x = 3x - 3 * 1 = 3 Thus, 3(x + 1) becomes 3x + 3. Now, you can combine these results: 4(x - 2) + 3(x + 1) becomes (4x - 8) + (3x + 3). Combine like terms: - The x terms: 4x + 3x = 7x. - The constant terms: -8 + 3 = -5. Putting it all together, you have: 7x - 5. This shows that the simplified expression from the original question is indeed

To simplify the expression 4(x - 2) + 3(x + 1), you can begin by distributing the constants 4 and 3 to each term inside the parentheses.

First, apply the distributive property:

  • Multiply 4 by each term in (x - 2):

  • 4 * x = 4x

  • 4 * -2 = -8

So, 4(x - 2) becomes 4x - 8.

Next, do the same for 3(x + 1):

  • 3 * x = 3x

  • 3 * 1 = 3

Thus, 3(x + 1) becomes 3x + 3.

Now, you can combine these results:

4(x - 2) + 3(x + 1) becomes (4x - 8) + (3x + 3).

Combine like terms:

  • The x terms: 4x + 3x = 7x.

  • The constant terms: -8 + 3 = -5.

Putting it all together, you have:

7x - 5.

This shows that the simplified expression from the original question is indeed

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