Bring 2 1/4 cups water to a boil and add the rice and 1 teaspoon of the salt. Return to a boil, cover, and simmer for 30 to 40 minutes, until the rice is tender and all the water is absorbed. Transfer the rice to a bowl.
Whisk together the vinegar, sugar, olive oil, remaining teaspoon of salt, and a pinch of pepper. Pour over the rice. Add the tomatoes and basil. Mix well and check the seasonings. Serve at room temperature.
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