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Algebra Difficulty 3.0 AMC 10/12 Prove it Canada

In the diagram, $AC = 2x$ , $BC = 2x+1$ and $\angle ACB = 30°$ . If the area of $\triangle ABC$ is $18$ , what is the value of $x$ ?

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