Assume that \( x = x(t) \) and \( y = y(t) \). Find \( \frac{dx}{dt} \), using the following information. \[ x^2 + y^2 = 4.52; \quad \frac{dy}{dt} = -2 \text{ when } x = -1.4 \text{ and } y = 1.6 \] \[ \frac{dx}{dt} = \square \] (Type an integer or a simplified fraction.)

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