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Rewrite the expression in a more complete and clear format if it represents a specific problem or provide more context.

For example, if this is an isolated expression, it could be part of a larger question:

"Evaluate the expression: [tex] -\frac{1}{5x} [/tex] for a given value of [tex] x [/tex]."

Alternatively, if additional context is provided, ensure the full question is clear and coherent.

If the expression is indeed part of a question, provide the full problem for clarity.



Answer :

GinnyAnswer
To analyze the expression \(-\frac{1}{5x}\), let’s break it down step by step:

1. Understand the components of the expression:
- The numerator is \(-1\).
- The denominator is \(5x\).

2. Construct the fraction:
- We are taking \(-1\) and dividing it by \(5x\).

3. Evaluate the nature of the expression:
- Since \(-1\) is a constant and \(5x\) includes a variable \(x\), this is a rational function. The variable \(x\) is in the denominator.

4. Simplify the expression:
- The given expression is already in its simplest form. There are no like terms or common factors that can further simplify it.

Thus, the given expression simplifies to [tex]\(\boxed{-\frac{1}{5x}}\)[/tex].

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