To simplify the expression \( 9x - 4 + 4x + 5x + 19 \), we first combine like terms.
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Combine the \( x \) terms: \[ 9x + 4x + 5x = (9 + 4 + 5)x = 18x \]
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Combine the constant terms: \[ -4 + 19 = 15 \]
Putting it all together, we have: \[ 18x + 15 \]
Now, let's check which of the answer choices is equivalent to \( 18x + 15 \).
A. \( 3(6x + 5) = 18x + 15 \) (This is equivalent) B. \( 18x + 23 \) (This is not equivalent) C. \( 5(x + 2) = 5x + 10 \) (This is not equivalent) D. \( 14x + 19 \) (This is not equivalent)
Thus, the correct answer is: A. 3(6x + 5).