We consider plane laminar flames with multicomponent transport and complex chemistry. The governing equations are derived from the kinetic theory of gases by using the classical isobaric approximation. An arbitrary number of reversible chemical reactions and temperature-dependent species specific heat is considered in the model. We also take into account the most general form for multicomponent transport fluxes given by the kinetic theory. Upon first considering a bounded domain and then letting the size of the domain to go to infinity, we obtain an existence theorem. We also establish that the natural entropy production norm associated with multicomponent diffusion is a solution-weighted norm.