The equation \(5x + 3 = x \cdot 5 + 3\) involves substitution to check if both sides of the equation are equal when \(x = 1\).
This equation can be simplified to \(5(1) + 3 = 1 \cdot 5 + 3\), which becomes \(5 + 3 = 5 + 3\).
The manipulation of the terms (the switching of \(5x\) and \(x \cdot 5\)) demonstrates the Commutative Property of Multiplication, which states that the order in which two numbers are multiplied does not change the product.
Thus, the correct response is:
The Commutative Property of Multiplication.
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