Simplify: What is 3/5x + x?

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Multiple Choice

Simplify: What is 3/5x + x?

Explanation:
To simplify the expression \( \frac{3}{5}x + x \), we first need to express \( x \) in a form that can easily combine with \( \frac{3}{5}x \). Since \( x \) can be rewritten as \( \frac{5}{5}x \) (to have a common denominator with \( \frac{3}{5}x \)), we can proceed with the addition: \[ \frac{3}{5}x + \frac{5}{5}x = \left(\frac{3 + 5}{5}\right)x = \frac{8}{5}x. \] This shows that the sum of \( \frac{3}{5}x \) and \( x \) is indeed \( \frac{8}{5}x \). The correct response accurately reflects this simplification. Thus, \( \frac{8}{5}x \) is the final answer.

To simplify the expression ( \frac{3}{5}x + x ), we first need to express ( x ) in a form that can easily combine with ( \frac{3}{5}x ). Since ( x ) can be rewritten as ( \frac{5}{5}x ) (to have a common denominator with ( \frac{3}{5}x )), we can proceed with the addition:

[

\frac{3}{5}x + \frac{5}{5}x = \left(\frac{3 + 5}{5}\right)x = \frac{8}{5}x.

]

This shows that the sum of ( \frac{3}{5}x ) and ( x ) is indeed ( \frac{8}{5}x ). The correct response accurately reflects this simplification. Thus, ( \frac{8}{5}x ) is the final answer.

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