Eric is in charge of ordering the centerpieces for a school awards banquet. There are three types, which cost $22, $37, and $48. He needs to order some of each for a total of 35 centerpieces and a total cost of $1,355. He needs 6 fewer of the $22 centerpieces than of the $37 centerpieces. How many $48 centerpieces does he need to order?

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