(4) Simplify the expression to solve for \( x \). \begin{tabular}{l}\( 2 x=-2 x+9 \) \\ \( x= \)\begin{tabular}{|l|}\hline 18 \\ 0 \\ \hline\end{tabular} \\ \hline-2.25 \\ \hline 2.25 \\ \hline 4.5 \\ \hline\end{tabular}

To simplify the equation \( 2x = -2x + 9 \), start by adding \( 2x \) to both sides to combine like terms. This gives you \( 2x + 2x = 9 \), leading to \( 4x = 9 \). Now, simply divide both sides by 4 to isolate \( x \), resulting in \( x = \frac{9}{4} \) or \( x = 2.25 \). Isn't it fascinating how simple algebra can solve for unknowns? This kind of equation shows up in various real-life situations—like calculating distances in physics, determining budget allocations in finance, or even optimizing designs in engineering. Just remember, algebra is all around you!