Combine like terms and simplify expressions while preserving structure.
Combine like variable terms
Problem
Simplify the expression \(3x~+~5x\).
Big Picture
What this problem is really about
Both terms count copies of the same variable quantity, so they are like terms. Add only their coefficients and keep the shared x factor unchanged; addition does not multiply the variables or remove them. Factoring out x provides a quick structural check on the simplification.
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