Simplify the expression.
–4 – 5(x + 8)
A. –5x – 44
B. –5x + 36
C. –x – 8
D. –20x + 8
recall the distributive property:
5(x+8) = 5*x + 5*8
-4-5(x+8) = -4 - 5x - 40 = -5x - 44.
To simplify the expression –4 – 5(x + 8), we can use the distributive property to multiply -5 with both x and 8.
Let's simplify step-by-step:
–4 – 5(x + 8)
= -4 - 5x - 5(8) (Apply distributive property)
= -4 - 5x - 40 (Multiply 5 with 8)
= -5x - 44 (Combine like terms)
Therefore, the simplified expression is -5x - 44.
So, the answer is option A. -5x - 44.
To simplify the expression -4 - 5(x + 8), we need to apply the distributive property and combine like terms.
The distributive property states that when you have a number outside parentheses multiplying each term inside the parentheses, you need to multiply the number by each term inside the parentheses.
So, let's apply the distributive property:
-4 - 5(x + 8) = -4 - 5 * x - 5 * 8
Now, let's simplify each term:
-4 is already simplified.
-5 * x = -5x
-5 * 8 = -40
Now, let's combine the simplified terms:
-4 - 5x - 40 = -5x - 44
So, the simplified expression is -5x - 44.
Therefore, the answer is A. -5x - 44.