Final answer:
To apply the commutative property of addition to the expression 13(4+x), you can rearrange the addition inside the parentheses without changing the multiplication, resulting in the equivalent expression 13(x+4).
Step-by-step explanation:
To write another equivalent expression for 13(4+x) by using the commutative property of addition, you can rearrange the terms inside the parentheses because this property tells us that the order in which two numbers are added does not change the sum. That is, A+B = B+A. So, using this property: 13(4+x) = 13(x+4)
The expression 13(x+4) is equivalent to the original expression because we have only rearranged the terms inside the parentheses, which is allowed due to the commutative property.
It's important to note that we did not change the order of multiplication; the commutative property applies only to the addition inside the parentheses.