\begin{tabular}{l}\( -2 x+4=-3 x+4 \) \\ \( \begin{array}{c}\text { Yes because I can do } \\ \text { whatever I want! }\end{array} \) \\ \( \begin{array}{c}\text { Yes because the } \\ \text { constants are the } \\ \text { same. }\end{array} \) \\ \( \begin{array}{c}\text { Yes because the } \\ \text { variables are } \\ \text { different. }\end{array} \) \\ \( \begin{array}{c}\text { No because I refus } \\ \text { to take part in this } \\ \text { silly question! }\end{array} \) \\ \hline\end{tabular}

To solve the equation \( -2x + 4 = -3x + 4 \), we start by rearranging it. By adding \(3x\) to both sides, we simplify it to \(x + 4 = 4\). Subtracting \(4\) from both sides gives us \(x = 0\). This means both sides of the equation are equal when \(x = 0\). Interestingly, this equation illustrates a key concept in algebra: when the constants on both sides are equal, the only variable term can determine the solution. If you’re ever unsure while solving equations, remember that balancing both sides correctly is crucial!