To use the Commutative Property, we need to rearrange the numbers and variables in such a way that both sides of the equation remain equivalent.
The Commutative Property states that changing the order of the numbers in addition or multiplication does not change the result.
Given the expression:
\[ (14)(____)(x) = (7)(____)(14) \]
To make these expressions equivalent, we need to fill in the blanks with factors that make the two sides equal.
We can fill in the blanks as follows:
Left Side:
- The first blank can be filled with \(1\), since any number multiplied by \(1\) remains unchanged.
- Thus, the left side becomes \( (14)(1)(x) \).
Right Side:
- The second blank can also be \(2\), since \(7 \times 2 = 14\).
- Thus, the right side becomes \( (7)(2)(14) \).
Now both sides of the equation look like this:
\[ (14)(1)(x) = (7)(2)(14) \]
Thus, the complete expression is:
\[ (14)(1)(x) = (7)(2)(14) \]
So the filled blanks would be: \(1\) and \(2\).