Let's first simplify the given equation:
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Combine like terms on the left side and the right side of the equation:
The original equation is: \[ 3 - 15x + 24 + 16x = 4x - 24 - 4x \]
Simplifying the left side: \[ (3 + 24) + (-15x + 16x) = 27 + x \]
Simplifying the right side: \[ (4x - 4x) - 24 = 0 - 24 = -24 \]
So the simplified equation is: \[ 27 + x = -24 \]
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Next, isolate \(x\):
To solve for \(x\), we want to get \(x\) by itself on one side. The next best step would be to subtract 27 from both sides of the equation:
\[ x = -24 - 27 \]
Given this, the correct choice from your provided options is:
Subtract 27 from both sides of the equation.