Four points \( A(6,3), B(-3,5), C(4,-2) \) and \( D(x, 3 x) \) are given such that \( \frac{\tri...

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Four points \( A(6,3), B(-3,5), C(4,-2) \) and \( D(x, 3 x) \) are given such that \( \frac{\triangle D B C}{\triangle A B C}=\frac{1}{2} \), find \( x \).

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