Solve the system.
$x_1 - 3x_3 = 14$
$4x_1 + 4x_2 + 3x_3 = 23$
$2x_2 + 4x_3 = -6$
Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice.
A. The unique solution of the system is $(x_1, x_2, x_3) = (\boxed{\phantom{0}}, \boxed{\phantom{0}}, \boxed{\phantom{0}})$.
(Type integers or simplified fractions.)
B. The system has infinitely many solutions.
C. The system has no solution.