Let's denote the number of boys as 5x and the number of girls as 7x, where x is a positive integer. Since there are 6 more girls than boys, we have the equation 7x = 5x + 6. Solving for x, we get x = 3. Therefore, the total number of students in the class is 5x + 7x = 12x = 12 * 3 = 36 students.
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