  We formulate the theory of first-order dissipative magnetohydrodynamics in an
arbitrary hydrodynamic frame under the assumption of parity-invariance and
discrete charge symmetry. We study the mode spectrum of Alfv\'en and
magnetosonic waves as well as the spectrum of gapped excitations and derive
constraints on the transport coefficients such that generic equilibrium states
with constant magnetic fields are stable and causal under linearised
perturbations. We solve these constraints for a specific equation of state and
show that there exists a large family of hydrodynamic frames that renders the
linear fluctuations stable and causal. This theory does not require introducing
new dynamical degrees of freedom and therefore is a promising and simpler
alternative to M\"{u}ller-Israel-Stewart-type theories. Together with a
detailed analysis of transport, entropy production and Kubo formulae, the
theory presented here is well suited for studying dissipative effects in
various contexts ranging from heavy-ion collisions to astrophysics.
