Cut the neck chops into cubes of about 1½ x 1½ cm, and season them with salt and pepper.
Heat some oil in a pot, and brown the meat to give it a good color.
Take the pot off the heat while you peel and chop the onions and garlic.
Place the pot back on the heat, add the onions and garlic, and let it fry for a couple of minutes.
Add chili powder, cumin, tomato paste, apple juice, and water.
Cover the pot with a lid, and let it simmer for 1-1½ hours, until the meat is very tender.
In the last 10 minutes, drain the water from the can of beans and add the beans to the pot.
Season with salt, pepper, and lime juice.