The velocity of a particular executing SHM varies with displacement \( (x) \) as \( 4v^{2} = 50 - x^{2} \). The time period of oscillations is \( \dfrac{x}{7} \, \text{s} \). The value of \( x \) is ____. \( \left( \text{Take } \pi = \dfrac{22}{7} \right) \)
