What number can replace x

 to show the Distributive Property 7(2+4)=14+x

The number that can replace x to show the Distributive Property in the equation 7(2+4)=14+x is 28.

When we apply the Distributive Property to the equation, we multiply 7 by both 2 and 4 separately and then add the results together to equal the product of the entire expression.

7(2+4) = 14 + x
7(6) = 14 + x
42 = 14 + x

To find the value of x, we subtract 14 from both sides of the equation:

42 - 14 = 14 - 14 + x
28 = x

Therefore, x = 28.