What is the result of combining -x + 3x - 2 + 1?

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Multiple Choice

What is the result of combining -x + 3x - 2 + 1?

Explanation:
To determine the result of combining the expression -x + 3x - 2 + 1, we need to identify and group the like terms together. First, look at the terms that contain the variable x: - The terms -x and 3x combine to form (3x - x), which simplifies to 2x. Next, identify the constant terms: - The constants are -2 and +1. When these two are combined, you get -2 + 1, which simplifies to -1. Putting it all together, we add the result of the combined x terms and the summed constant terms: - From the x terms, we have 2x. - From the constant terms, we have -1. Therefore, combining both results gives us the expression 2x - 1. This is why the correct answer reflects this combination accurately.

To determine the result of combining the expression -x + 3x - 2 + 1, we need to identify and group the like terms together.

First, look at the terms that contain the variable x:

  • The terms -x and 3x combine to form (3x - x), which simplifies to 2x.

Next, identify the constant terms:

  • The constants are -2 and +1. When these two are combined, you get -2 + 1, which simplifies to -1.

Putting it all together, we add the result of the combined x terms and the summed constant terms:

  • From the x terms, we have 2x.

  • From the constant terms, we have -1.

Therefore, combining both results gives us the expression 2x - 1. This is why the correct answer reflects this combination accurately.

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