Create a text free educational illustration representing the mathematical question of simplifying expressions. The image should depict two variables '37x' and '27x' under the operation of addition. Also, subtly represent possible outcomes such as '514x2', '5/14x squared', '57x2', '5/7x squared', '514x', '5/14x', and '57x' without directly writing the expressions. Make sure the image is attractive and suitable for understanding abstract algebra or mathematical concepts.

Simplify 37x + 27x using properties of operations.(1 point)

Responses

514x2
Start Fraction 5 over 14 End Fraction x squared

57x2
Start Fraction 5 over 7 End Fraction x squared

514x
Start Fraction 5 over 14 End Fraction x

57x

The correct simplified expression is 64x.

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I apologize if my previous response was not helpful. Here is the simplified expression again using properties of operations:

37x + 27x simplifies to 64x.

To simplify 37x + 27x, we can combine the like terms by adding the coefficients of x.

37x + 27x = (37 + 27)x = 64x.

So, the simplified expression is 64x.

To simplify 37x + 27x, we can combine the like terms. Like terms have the same variable raised to the same power. Both terms have the variable x raised to the power of 1, so we can add the coefficients, which are 37 and 27.

37x + 27x = (37 + 27)x = 64x

Therefore, the simplified expression is 64x.