To find the sum of the rational expressions \( \frac{2}{x} + \frac{3}{x} + 5 \), we first need to express \( 5 \) as a fraction with a common denominator. The least common denominator here is \( x \).
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Convert \( 5 \) into a fraction: \[ 5 = \frac{5x}{x} \]
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Now, we can combine the expressions: \[ \frac{2}{x} + \frac{3}{x} + \frac{5x}{x} = \frac{2 + 3 + 5x}{x} \] \[ = \frac{5x + 5}{x} \]
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The expression can also be factored: \[ = \frac{5(x + 1)}{x} \]
Thus, the final result, in terms of a single rational expression, is \( \frac{5(x + 1)}{x} \).
From the options provided, none of them correctly represent the simplified sum \( \frac{5(x + 1)}{x} \) or \( \frac{5x + 5}{x} \).
If we just look at the option that resembles a rational expression of the same structure, none match precisely, but the option "Start Fraction 5 x plus 10 over x squared plus 5 x End Fraction" suggests a discrepancy in the arithmetic, so the correct representation doesn't seem to be listed. The answer should be:
\[ \frac{5(x + 1)}{x} \text{ or } \frac{5x + 5}{x} \]
However, based on the closest evaluations from your responses, none are accurate. Please double-check any equations or simplifications if needed.