Substituting 1 for \( x \) in the equation \( 5x + 3 = x \cdot 5 + 3 \) serves as a test case for the ** commutative property of multiplication**.
Here's why:
- The equation \( 5x + 3 = x \cdot 5 + 3 \) demonstrates that the multiplication of \( x \) by \( 5 \) can be expressed in two different ways, \( 5x \) and \( x \cdot 5 \).
- When substituting \( 1 \) for \( x \), both sides of the equation yield the same result, which essentially confirms that the order in which you multiply (commutative property) does not change the outcome.
Thus, using \( x = 1 \) here illustrates the validity of the commutative property in the context of multiplication within that equation.
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