To transform the given equation \(-15x + 24 + 16x = 3x - 24\) into a form where it can be simplified and shows that there is one solution, we need to combine like terms and then isolate the variable \(x\).
Options that apply are:
B. subtract 15x from both sides of the equation and then simplify
This step will help in simplifying the left side of the equation by removing the \(-15x\).
D. add 3x to both sides of the equation and then simplify
This step will help in simplifying the right side of the equation as well, allowing us to combine \(x\) terms on both sides.
After performing these steps, you can continue simplifying the equation until you can isolate \(x\) and demonstrate that it has one solution.