Good job! Did you rosin core solder for the wire ? I use acid core(flux) for the tail light fix but you should use rosin core for wiring (or solid wire solder with rosin flux) Some heat shrink tubing to finish it off would be good too Should last along time.

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1988 325is (purchased new) sold
2004 X5 3.0 2005 X3 2.5
2008 X5 3.0 (new to me)