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2\sqrt{3}+5\sqrt{2}+7\sqrt{2}-\sqrt{2}
Combine 4\sqrt{3} and -2\sqrt{3} to get 2\sqrt{3}.
2\sqrt{3}+12\sqrt{2}-\sqrt{2}
Combine 5\sqrt{2} and 7\sqrt{2} to get 12\sqrt{2}.
2\sqrt{3}+11\sqrt{2}
Combine 12\sqrt{2} and -\sqrt{2} to get 11\sqrt{2}.