Let's simplify the given equation step by step:
The original equation is: \[ 3 - 15x + 24 + 16x = 4x - 24 - 4x. \]
First, combine like terms on both sides:
On the left side: \[ 3 + 24 = 27 \] and \[ -15x + 16x = 1x \] So, the left side simplifies to: \[ 27 + 1x, \text{ or simply } x + 27. \]
On the right side: \[ 4x - 4x = 0 \] and \[ -24 \text{ remains as is.} \] So the right side simplifies to: \[ -24. \]
Now, the simplified equation is: \[ x + 27 = -24. \]
To solve for \( x \), we need to isolate it. The next best step is to subtract 27 from both sides:
\[ x + 27 - 27 = -24 - 27. \]
So, the correct response is: Subtract 27 from both sides of the equation.
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