Right as it says on the banner. We will assume that complex life still develops as the Moon will have moved far enough away from the Earth by the time that develops to not mess with evolution all that much (the tides may have slightly different amplitudes and occur at different times of the day, but that's it).
The interesting part involves eclipses and their interpretation by primitive humans. There will be solar and lunar eclipses every month as the Earth, Moon, and Sun are always in the same plane. A large percentage of the Earth will see a lunar eclipse each month, and a small (but varying) section of the equator will experience a total solar eclipse each month. Note that total solar eclipses will be impossible ANYWHERE other than the equator.
How will primitive culture treat eclipses like this? A blood-red moon every month and a darkening of the sun at midday? Could you get earlier lunar calendars and so forth? Will the equator have some kind of mystique or stigma for having the possibility of total solar eclipses? Primitive humans were probably on or around the equator when they were evolving in Africa.