A cubic function \(f(x)\) has a maximum value of \( 5 \) at \( x = -2 \). The equation of the line tangent to the curve \( y = f(x) \) at point \( (0, 1) \) is \( y = 8 x + 1 \). What is the sum of all the coefficients of the function \( f(x) \)?

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