Your parents are having custom cabinets built for their new kitchen. The company building the cabinets charges the same amount (x) for each of the cabinet pieces and charges a flat fee of $150 for installation. The project planner has determined that your parents will need to purchase 8 upper cabinets, 6 lower cabinets, 2 corner cabinets and 4 cabinets with finished ends. If the total cost of the custom cabinets comes to $6650, what is the cost of each cabinet?