(AgI)(1-x)(Ag2MoO4)(x) glasses and crystals have been studied by X-ray absorption spectroscopy at the Mo K-edge. All the measured samples contain isolated [MoO4] tetrahedra with R(Mo-O) = 1.7851 +/- 0.008 Angstrom and mean square relative displacement (MSRD) sigma(2) = 0.0043 +/- 0.0013 Angstrom(2), which are unchanged upon insertion of AgI. The glasses have a quite similar environment around molybdenum, which resembles that of the crystal (AgI)(x)(Ag2MoO4)(x) with x = 0.33. The presence of AgI modifies the local environment around molybdenum already in the second coordination shell.