What is the expression 4+8(3x−2)−7x when simplified? Apply the order of operations and the commutative and distributive properties. Show all your work.(4 points) wright as six would

Answer 1

To simplify the expression \( 4 + 8(3x - 2) - 7x \), we'll apply the order of operations and use the distributive property. Let's go through the steps one by one.

1. Start with the original expression: \[ 4 + 8(3x - 2) - 7x \]

2. Apply the distributive property to \( 8(3x - 2) \): \[ 8(3x) - 8(2) = 24x - 16 \]

3. Substitute this back into the expression: \[ 4 + (24x - 16) - 7x \]

4. Combine like terms:

   • First, combine the constant terms: \( 4 - 16 = -12 \).
   • Next, combine the variable terms: \( 24x - 7x = 17x \).

5. Putting it all together, we have: \[ -12 + 17x \]

6. Rearranging the terms for clarity, we can write it as: \[ 17x - 12 \]

So, the simplified expression is: \[ \boxed{17x - 12} \]