When getting 2nd tire set with their own TMPS sensors, make sure you get those (takeoffs) from cars built prior to Oct 2010, as BMW had changed sensors around that time (thus signal receiver on your car will not be able to pick up signal from sensors installed on X5 built after 10/10).

Or you can get sensors separately and create your own combo of rims/sensors/rubber. Just make sure to mention that you have pre-2011 E70 model when purchasing sensors!

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His : 2013 X5 3.5d Deep Sea Blue/Black/Aluminum with ALL packages, 20" 214"s, running boards, Adaptive Drive, Spare Tire, BMW Apps
On Order : 2016 X3 3.5 MSport Silver/Mocha with DHP, CW, Prem, Tech, DA, Lighting

Hers : 2015 328xi MSport Silver/Red

Prior:
2008 X5 4.8
2011 X5 3.5d
2010 335 xDrive
2013 335 xDrive