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Multiple Choice Question
Jackson is given the expression below to simplify.

9x – 4 + 4x + 5x + 19

Which expression is equivalent to Jackson's expression?

A.

3(6x + 5)

B.

18x + 23

C.

5(x + 2)

D.

14x + 19

1 answer

To simplify the expression \( 9x - 4 + 4x + 5x + 19 \), we can combine like terms.

  1. Combine the \( x \) terms: \[ 9x + 4x + 5x = (9 + 4 + 5)x = 18x \]

  2. Combine the constant terms: \[ -4 + 19 = 15 \]

So, the simplified expression becomes: \[ 18x + 15 \]

Now, let's compare this result to the provided options:

A. \( 3(6x + 5) \)

  • Distributing gives \( 18x + 15 \)

B. \( 18x + 23 \)

  • This does not match.

C. \( 5(x + 2) \)

  • Distributing gives \( 5x + 10 \), which does not match.

D. \( 14x + 19 \)

  • This does not match.

The correct answer is: A. \( 3(6x + 5) \) which simplifies to \( 18x + 15 \), matching our simplified expression.