Question

What is the expression 4+8(3x-2)-7x when simplified ? Apply the order of operations and the commutative and distributive properties.shoe all your work.

Answer 1

[AI-generated answer — Bot GPT 3.5]

To simplify the expression 4 + 8(3x - 2) - 7x, we need to follow the order of operations, which is Parentheses, Exponents, Multiplication and Division (from left to right), and Addition and Subtraction (from left to right).

First, we need to apply the distributive property to simplify the term 8(3x - 2). We distribute the 8 to both terms inside the parentheses:

8(3x - 2) = 8 * 3x - 8 * 2
= 24x - 16

Now, the expression is simplified to:

4 + 24x - 16 - 7x

Next, we combine like terms; that is, we add or subtract similar terms. In this case, the terms that contain the variable 'x' are like terms:

4 + 24x - 7x - 16

This can be further simplified by combining the constants 4 and -16:

(4 - 16) + 24x - 7x
-12 + 24x - 7x

Finally, we combine like terms to get our simplified expression:

-12 + (24x - 7x)
-12 + 17x

Therefore, the simplified expression is -12 + 17x.