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Let's dive into the fun world of algebra! To evaluate the expression \(-5x^{3}\) for \(x=4\), we'll simply follow the order of operations. First, calculate \(4^{3}\), which is \(64\). Then multiply that by \(-5\): \(-5 \times 64 = -320\). So the expression evaluates to \(-320\). Easy peasy! If you're ever confused with expressions, remember to tackle them step by step. One common mistake is to forget about the exponent before multiplying. Always double-check each calculation to avoid unexpected surprises, just like checking your math before running off to the ice cream truck!