Cut the beef into bite size pieces and sprinkle them with salt and pepper
Preaheat a heavy bottomed skillet over medium-high heat. When pan is sizzling hot, add the pieces of beef and sear them quickly, just enough to get them nice and golden brown. Remove from skillet and set aside.
Put the skillet back over the heat source and add the mushrooms. Cook until brown on both sides, then throw in the onions, bell peppers and green beans.
Quickly cook the vegetables until slightly softened, about 2 minutes.
Add the garlic, ginger, chili peppers, rice vinegar and lime juice.
Throw the meat back into the pan and stir to combine. Cook for another minute or two to allow the flavors to combine.