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In \(\Delta ABC\), \(D\) and \(E\) are points on the sides \(AB\) and \(AC\) respectively such that \(DE || BC\) if \(AD = 8x - 7\), \(DB = 5x - 3\), \(AE = 4x - 3\) and \(EC = 3x - 1\), find the value of \(x\).
 
Answer:
 
The value of \(x\) \(=\)  units