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Let the odd integer be represented as ( x ). The next odd integer would then be ( x + 2 ). The equation can be set up as ( 5x + 3(x + 2) = 62 ). Simplifying this gives ( 5x + 3x + 6 = 62 ), which leads to ( 8x + 6 = 62 ). Solving for ( x ), we find ( 8x = 56 ), resulting in ( x = 7 ). Thus, the odd integer is 7, and the next odd integer is 9.

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