LAX is U-shaped, and a gentle 20-minute stroll will take you from one end to the other. The .....-part is if your incoming flight is late: cut across the middle or hop on the Shuttle-bus, and expect your luggage to get to your destination the day after you get there.

Been there, done that - both the gentle stroll and the "20-minutes till your flight leaves - say sayonara to your bags".