Combine like terms and simplify expressions while preserving structure.
Simplify a total measure expression
Problem
A path has sections measuring \(2x~\text{meters}\), \(5~\text{meters}\), \(3x~\text{meters}\), and \(4~\text{meters}\). Add the section measures and combine like terms. Report the simplified total length.
Big Picture
What this problem is really about
The total path includes every listed section, so begin by adding all four measures. Regroup the two variable lengths and the two fixed lengths, then combine each pair separately. A variable length and a constant length remain unlike, and the final expression should retain meters as its contextual unit.
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