I have a 2016 LC200 and I connected the Brown and Red from Ironman light into the Red of the long LC Headlight side bulb unit that twists out (first photo) Then connected the Yellow of the Ironman light into the White of the LC corner most Headlight small socket housing the indicator (2nd photo). Lastly extended the White from the Ironman light to an earth point underneath a bolt already securing something else to the chassis (3rd photo). I used Scotchlocks similar to how others have done it. It was easy on the passenger side but needed to remove battery to do the same on the drivers side. For the fog lights I simply connected into the existing fog light connector wiring from the original bumper that allows fog light activation from the lighting stalk on the steering wheel.
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LX is almost the same - this is pretty close to what I did.