What is the result of combining the terms x + 2x + 3x?

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Multiple Choice

What is the result of combining the terms x + 2x + 3x?

Explanation:
To determine the result of combining the terms \( x + 2x + 3x \), we start by identifying the coefficients of each term. The term \( x \) can be expressed as \( 1x \), which allows us to view all terms clearly: - The coefficient of the first term \( x \) is 1. - The coefficient of the second term \( 2x \) is 2. - The coefficient of the third term \( 3x \) is 3. Now, we add the coefficients together: \[ 1 + 2 + 3 = 6. \] Thus, when we combine \( x + 2x + 3x \), we get: \[ 6x. \] This indicates that the correct result of combining these terms is \( 6x \). Understanding how to identify and add the coefficients of like terms is crucial in algebra, as it allows for the simplification of expressions effectively.

To determine the result of combining the terms ( x + 2x + 3x ), we start by identifying the coefficients of each term. The term ( x ) can be expressed as ( 1x ), which allows us to view all terms clearly:

  • The coefficient of the first term ( x ) is 1.
  • The coefficient of the second term ( 2x ) is 2.

  • The coefficient of the third term ( 3x ) is 3.

Now, we add the coefficients together:

[

1 + 2 + 3 = 6.

]

Thus, when we combine ( x + 2x + 3x ), we get:

[

6x.

]

This indicates that the correct result of combining these terms is ( 6x ). Understanding how to identify and add the coefficients of like terms is crucial in algebra, as it allows for the simplification of expressions effectively.

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