Problem

$-5=-\frac{1}{x-1}$

Answer

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Answer

\( x = \boxed{\frac{6}{5}} \)

Steps

Step 1 ：\( -5 = -\frac{1}{x-1} \)

Step 2 ：\( 5 = \frac{1}{x-1} \)

Step 3 ：\( 5(x-1) = 1 \)

Step 4 ：\( 5x - 5 = 1 \)

Step 5 ：\( 5x = 6 \)

Step 6 ：\( x = \boxed{\frac{6}{5}} \)

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