For almost 20 years the author has conducted research on both macroscopic and molecular theories. The results of his investigation, which can be found in this work, are that irreversible thermodynamics and kinetic theory of matter are not separable especially for nonlinear irreversible processes occurring in systems removed far from equilibrium and thus must be examined together in a mutually consistent manner. Includes coverage of such topics as mass and momentum conservation law, bilinear and quadratic forms for entropy production, viscous phenomena, boundary conditions for velocities and much more.