System of Complex Nonlinear Equations

Consider the following system of equations:

$\large{x^2 y - 5 y^3 + 2 z = 3 + 4 j \\ x z^2 + 7 y = -1 - 2 j \\ 3 x y z + x = 5 + 0 j \\ x = a + b \, j \\ y = c + d \, j \\ z = e + f \, j \\ j = \sqrt{-1}}$

What is $a + b + c + d + e + f$ ?

Note: There are many solutions. Choose the one in which the real part of $x$ (parameter $a$ ) is approximately 0.15639