12(x - 4) + 4 (x + 7)

First, distribute 12 to both terms inside the parentheses:

12 * x = 12x
12 * -4 = -48

So we have 12x - 48.

Next, distribute 4 to both terms inside its parentheses:

4 * x = 4x
4 * 7 = 28

So we have 4x + 28.

Now, we can combine like terms. Since 12x and 4x are like terms, we can add them together:

12x + 4x = 16x

Similarly, -48 and 28 are like terms, so we can add them together:

-48 + 28 = -20

Therefore, the final simplified expression is:

16x - 20