First, let's simplify the equation you provided:
Starting with the original equation:
\(3 - 15x + 24 + 16x = 4x - 24 - 4x\)
Combine like terms:
On the left side:
\(3 + 24 = 27\) and \(-15x + 16x = x\)
So, the left side simplifies to:
\(27 + x\)
On the right side:
\(4x - 4x = 0\) and \(-24\) remains as is.
Thus, the equation simplifies to:
\(27 + x = -24\)
At this point, the next step should be to isolate the variable \(x\). The appropriate move to solve for \(x\) would be to subtract 27 from both sides of the equation.
So the correct response would be: Subtract 27 from both sides of the equation.