Question

simplify the expression: -2(3x - 4) - 4(2x + 1) -14x + 8 -14x - 4 -14x + 4 -14x - 8

Explanation:

Step1: Distribute the coefficients

First, distribute -2 into (3x - 4) and -4 into (2x + 1).
For -2(3x - 4), we get $-2\times3x + (-2)\times(-4) = -6x + 8$.
For -4(2x + 1), we get $-4\times2x + (-4)\times1 = -8x - 4$.

Step2: Combine like terms

Now, combine the two resulting expressions: (-6x + 8) + (-8x - 4).
Combine the x-terms: -6x - 8x = -14x.
Combine the constant terms: 8 - 4 = 4.
So the simplified expression is -14x + 4.

Answer:

-14x + 4 (which corresponds to the option with "-14x + 4")