The Lollipop update has been out for awhile for some devices but the Moto X 1st Gen still has Android 4.4. Motorola has committed to upgrading the device straight to Android 5.1 and skip 5.0 completely, but that has taken longer than usual due to issues with the processor.
Motorola’s David Schuster has taken to Google Plus to try to reassure users that the update is still on the way. It’s not quite ready to start rolling out to devices, but Motorola is going to begin testing the update on devices in the US and Latin America. If this soak test goes well, the update should start rolling out in the next few weeks.