Question

1. show or explain how you know that $2(x) + 2(x - 2)$ and $4(x - 1)$ are equivalent.

Explanation:

Step1: Expand first expression

$2(x) + 2(x - 2) = 2x + 2x - 4$

Step2: Simplify first expression

$2x + 2x - 4 = 4x - 4$

Step3: Expand second expression

$4(x - 1) = 4x - 4$

Step4: Compare both results

Both expressions simplify to $4x - 4$.

Answer:

Both expressions simplify to $4x - 4$, so they are equivalent.