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Now, multiply each side of the equation by 12 , and simplify. 12*((x)/(12)-13)=12*((1)/(2))

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Final answer:

To solve the student's equation, we multiply both sides by 12, simplify, and solve for x to find that x equals 162.

Step-by-step explanation:

The student's equation is 12(\(x\)/12 - 13) = 12(\(1\)/2). Multiplying both sides of the equation by 12 simplifies the left side by canceling out the 12 in the denominator of the first term and multiplying -13 by 12. We are left with x - 156 = 6. Solving for x involves adding 156 to each side, giving us x = 162.

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