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• 5 and 9 of hearts
• 4 of diamonds
• 8 of clubs

Since all suits are present, there must be at least two red cards and two black cards. And there is only one suit with two cards.

Since the hearts total 14 and there are no aces or face cards and all cards have a different value, the heart combination can only be (4, 10), (5, 9) or (6, 8).

The sum of the odd cards equals the sum of the even cards, therefore, there must be two odd and three even cards. The maximum of the odd cards is 7 + 9 = 16. The minimum of the even cards is 2 + 4 + 6 = 12. Therefore, the sums must be 12, 14, or 16.

The only combination of cards that meets all these criteria is the one shown above.

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