Question

simplify the expression ( 3(x - 4) - 2(2x + 1) ).

a. ( -x - 14 )
b. ( -x - 7 )
c. ( -x + 11 )
d. ( -x + 7 )

Explanation:

Step1: Distribute the coefficients

First, we distribute the 3 and -2 into the parentheses:
$3(x - 4) = 3x - 12$ and $-2(2x + 1) = -4x - 2$.

Step2: Combine like terms

Now, we combine the $x$-terms and the constant terms:
$(3x - 4x) + (-12 - 2) = -x - 14$.

Answer:

a. $-x - 14$