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AMC 12 2010a Problem 22

  • Paper

What is the minimum value of ∣x−1∣+∣2x−1∣+∣3x−1∣+⋯+∣119x−1∣\left|x-1\right| + \left|2x-1\right| + \left|3x-1\right| + \cdots + \left|119x - 1 \right|?

\textbf{(A)}\ 49 \textbf{(B)}\ 50 \textbf{(C)}\ 51 \textbf{(D)}\ 52 \textbf{(E)}\ 53

Dataset text AMC 12 2000 to 2025. Quoted with source.

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