New England Boiled Dinner – Corned Beef & Cabbage

2 1/2 pounds corned beef brisket
The spice packet that comes with the corned beef or 3 tablespoons pickling spices, 3 bay leaves and 5 black peppercorns, tied in a cheesecloth bag
2 potatoes, peeled and cut into large chunks
3 carrots, cut into 4 pieces
1 onion, quartered
1 small cabbage, cut into wedges
1 tablespoon salt  

In a large pot combine meat, spices and enough cold water to cover. Bring to a boil, reduce heat and simmer 2 hours. Add vegetables and salt. Simmer 30 minutes more.