The substitution of \( 1 \) for \( x \) in the equation \( 5x + 3 = x \cdot 5 + 3 \) is a test case for the Commutative Property of Multiplication. This property states that changing the order of the factors will not change the product, which is evident as both sides of the equation simplify to the same value when \( x = 1 \).
So, the correct response is:
The Commutative Property of Multiplication.