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Let x be the smaller number.
According to the given conditions, the larger number is 2x + 6.
The sum of 3 times the larger number and the smaller number is 62, so we can set up the equation:
3(2x + 6) + x = 62
This equation includes 3 times the larger number (3(2x + 6)) and the smaller number (x), and it equals 62.
Therefore, the correct equation is:
C. 3(2x + 6) + x = 62