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If $x(x(x+1)+2)+3=x^3+x^2+x-6$ then $x$ is equal to

(A) $11$ (B) $-9$ (C) $-4 \text{ or } 3$ (D) $-1 \text{ or } 0$ (E) $-2$

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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.