Simplify 37x + 27x

3
7
𝑥

+

2
7
𝑥
using properties of operations.(1 point)
Responses

57x
5
7
𝑥
Start Fraction 5 over 7 End Fraction x

57x2
5
7
𝑥
2
Start Fraction 5 over 7 End Fraction x squared

514x
5
14
𝑥
Start Fraction 5 over 14 End Fraction x

514x2
5
14
𝑥
2
Start Fraction 5 over 14 End Fraction x squared

1 answer

To simplify the expression \( \frac{3}{7}x + \frac{2}{7}x \), you can combine the terms since they have the same denominator:

\[ \frac{3}{7}x + \frac{2}{7}x = \left( \frac{3 + 2}{7} \right)x = \frac{5}{7}x \]

So, the simplified expression is:

\[ \frac{5}{7}x \]

The correct response is:

Start Fraction 5 over 7 End Fraction x.