Questions: Simplify each of the following expressions as much as possible. a. 6x-2-2x b. 6x-(2-2x)

Solution Steps

To simplify algebraic expressions, we need to combine like terms and apply the distributive property where necessary.

a. Combine the like terms involving \( x \).

b. Distribute the negative sign and then combine like terms.

We start with the expression \( 6x - 2 - 2x \). To simplify, we combine the like terms involving \( x \):

\[ 6x - 2x = 4x \]

Thus, the simplified expression is:

\[ 4x - 2 \]

Next, we simplify the expression \( 6x - (2 - 2x) \). First, we distribute the negative sign:

\[ 6x - 2 + 2x \]

Now, we combine the like terms involving \( x \):

\[ 6x + 2x = 8x \]

Therefore, the simplified expression is:

\[ 8x - 2 \]

Final Answer