To clarify your question, it seems you're discussing an equation and then asking which property of arithmetic is related to it.
Let's start with the equation you provided:
\[ 5x + 3 = x 5 + 3 \]
This equation seems to be formatted incorrectly, but I’ll assume you're referring to something like:
\[ 5x + 3 = 5x + 3 \]
This equation simply states that the left-hand side is equal to the right-hand side, which is true for all values of \( x \).
Now, regarding the properties you mentioned:
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Associative Property of Addition: This property states that the way in which numbers are grouped in addition does not change their sum. For example, \( (a + b) + c = a + (b + c) \).
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Commutative Property of Addition: This property states that changing the order of the numbers in addition does not change their sum. For example, \( a + b = b + a \).
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The Property of Multiplication: This can refer to both the associative and commutative properties but specifically in multiplication.
- Associative Property of Multiplication: \( (a \cdot b) \cdot c = a \cdot (b \cdot c) \)
- Commutative Property of Multiplication: \( a \cdot b = b \cdot a \)
In your case, what you provided doesn't seem to specifically test one of these properties, as it simply populates an equality that holds true.
If you have a specific operation or transformation in mind related to these properties, please clarify further!