  Using psi(2S) --> pi+ pi- J/psi, J/psi --> gamma eta' events acquired with
the CLEO-c detector at the CESR e+e- collider, we make the first observations
of the decays eta' --> pi+ pi- pi0 and eta' --> pi+ pi- e+ e-, measuring
absolute branching fractions (37 +11 -9 +- 4) x 10^-4 and (25 +12 -9 +- 5) x
10^-4, respectively. For eta' --> pi+ pi- pi0, this result probes the mechanism
of isospin violation and the roles of pi0/eta/eta'-mixing and final state
rescattering in strong decays. We also set upper limits on branching fractions
for eta' decays to pi+ pi- mu+ mu-, 2(pi+ pi-), pi+ pi- 2pi0, 2(pi+ pi-)pi0,
3(pi+ pi-), and invisible final states.
