To solve the equation \( \frac{1}{3}x - 8 = 17 \), follow these steps:
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Add 8 to both sides of the equation to isolate the term with \(x\):
\[ \frac{1}{3}x - 8 + 8 = 17 + 8 \]
This simplifies to:
\[ \frac{1}{3}x = 25 \]
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Next, multiply both sides by 3 to solve for \(x\):
\[ 3 \times \frac{1}{3}x = 25 \times 3 \]
This gives:
\[ x = 75 \]
Thus, the solution to the equation is:
\[ \boxed{75} \]