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Simplify 3/7x + 2/7x

using properties of operations.(1 point)
Responses

57x
Start Fraction 5 over 7 End Fraction x

514x2
Start Fraction 5 over 14 End Fraction x squared

514x
Start Fraction 5 over 14 End Fraction x

57x2
Start Fraction 5 over 7 End Fraction x squared

1 answer

To simplify the expression \( \frac{3}{7}x + \frac{2}{7}x \), you can combine the like terms.

  1. Add the coefficients: \[ \frac{3}{7} + \frac{2}{7} = \frac{3 + 2}{7} = \frac{5}{7} \]

  2. Combine with \( x \): \[ \frac{5}{7}x \]

So, the simplified expression is: \[ \frac{5}{7}x \]

Thus, the correct response is: \( \frac{5}{7}x \).