Bot GPT 4-o mini To solve the equation
\[ \frac{x - 8}{x - 2} = \frac{7}{8}, \]
we will cross-multiply to eliminate the fractions.
Cross-multiplying gives:
\[ 8(x - 8) = 7(x - 2). \]
Expanding both sides:
\[ 8x - 64 = 7x - 14. \]
Now, let's isolate \(x\). First, subtract \(7x\) from both sides:
\[ 8x - 7x - 64 = -14, \]
which simplifies to:
\[ x - 64 = -14. \]
Next, add 64 to both sides:
\[ x = 64 - 14, \]
which simplifies to:
\[ x = 50. \]
Finally, we can summarize our result:
\[ \boxed{50}. \]
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