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