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A function $f$ is such that $f(x) - f(x-1) = 4x - 9$ and $f(5) = 18$. Determine the value of $f(6)$.

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Source: CEMC, University of Waterloo, licensed CC-BY-NC-4.0. Statement reproduced verbatim; metadata (topic, difficulty, ordering) added by this project. Solutions are the publisher's, linked not copied.