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Cover a small plate with salt to a depth of ¼ inch.
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Halve the lime wedge widthwise and run a cut edge around the outer rim of a martini glass to dampen it.
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Roll the glass in the salt to coat the outer rim.
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Combine the tequila, orange liqueur, lime juice, and lemon juice in a mixing glass. Fill the glass three-quarters full with ice cubes, cover with a Boston shaker tin, and shake vigorously until thoroughly chilled, 15 seconds.
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Strain into the prepared glass and garnish with the lime slice.