If equation of the plane that contains the point \( (-2, 3, 5) \) and is perpendicular to each of the planes \( 2x + 4y + 5z = 8 \) and \( 3x - 2y + 3z = 5 \) is \( \alpha x + \beta y + \gamma z + 97 = 0 \) then \( \alpha + \beta + \gamma = \)
\( 18 \)
\( 15 \)
\( 16 \)
\( 17 \)
