If \(f(x) = 5x + \frac{3}{x}\), \newline \(f'(5) = \) \newline Use this to find the equation of the tangent line to the curve \(y = 5x + \frac{3}{x}\) at the point \((5, 25.6)\). Write your answer in the form: \newline \(y = mx + b\), where \(m\) is the slope and \(b\) is the \(y\)-intercept.