To show the distributive property, we need to simplify both sides of the equation and find what \( x \) should be.
Starting with the left side: \[ 7(2 + 4) \]
Using the distributive property, we can rewrite this as: \[ 7 \cdot 2 + 7 \cdot 4 \]
Calculating that, we get: \[ 14 + 28 = 42 \]
So, the left side simplifies to 42.
Now, we look at the right side of the equation: \[ 14 + x \]
To find \( x \), we set the two sides equal to each other: \[ 42 = 14 + x \]
To solve for \( x \), subtract 14 from both sides: \[ x = 42 - 14 \] \[ x = 28 \]
Thus, the number that can replace \( x \) is \( 28 \).
The final answer is: \[ x = 28 \]
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