To simplify the expression 8 - 2(x + 3), we can apply the distributive property.
First, we multiply -2 by each term inside the parentheses:
8 - 2(x + 3) = 8 - 2x - 6
Next, we combine like terms:
8 - 2x - 6 = 2 - 2x
Therefore, the simplified expression is 2 - 2x.
Now, let's simplify the expression 2(3x + 4) - 8x.
First, we use the distributive property by multiplying 2 with each term inside the parentheses:
2(3x + 4) - 8x = 6x + 8 - 8x
Next, we combine like terms:
6x + 8 - 8x = -2x + 8
Therefore, the simplified expression is -2x + 8.