Combine like terms and simplify expressions while preserving structure.
Model and simplify a context expression
Problem
A school club sells \(x~\text{tickets}\) at lunch, \(3x~\text{tickets}\) after school, and \(12~\text{extra}~\text{tickets}\) at the door. Model the total and combine like terms. Report the simplified total-tickets equation.
Big Picture
What this problem is really about
Model each sales source exactly once before simplifying: lunch and after-school sales produce two like x-terms, while the door contributes a fixed count. Add all three contributions, combine only the variable terms, and retain the constant separately. The result should be stated as the total-tickets equation requested by the context.
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