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What is the simplified form of the expression 3(x + 2) - 2(x - 1)?

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Question: What is the simplified form of the expression 3(x + 2) - 2(x - 1)?

Options:

  1. x + 8
  2. x + 7
  3. x + 6
  4. x + 5

Correct Answer: x + 7

Solution: 

Step 1: Distribute: 3x + 6 - 2x + 2. Step 2: Combine like terms: (3x - 2x) + (6 + 2) = x + 8.

What is the simplified form of the expression 3(x + 2) - 2(x - 1)?

Practice Questions

Q1
What is the simplified form of the expression 3(x + 2) - 2(x - 1)?
  1. x + 8
  2. x + 7
  3. x + 6
  4. x + 5

Questions & Step-by-Step Solutions

What is the simplified form of the expression 3(x + 2) - 2(x - 1)?
  • Step 1: Distribute the 3 into (x + 2) and the -2 into (x - 1). This means you multiply 3 by x and 3 by 2, and -2 by x and -2 by -1. So, you get 3x + 6 - 2x + 2.
  • Step 2: Combine like terms. You have 3x and -2x, which combine to x. Then, you have 6 and 2, which combine to 8. So, you get x + 8.
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