What is the expression 4+8 (3x-2)-7x when simplified? Apply the order of operations in the commutative and distributve properties. Show all your work
To simplify the expression 4 + 8(3x - 2) - 7x, we need to apply the distributive property.
First, we can simplify the expression inside the parentheses: 3x - 2.
Next, we can multiply 8 by each term inside the parentheses: 8 * 3x = 24x and 8 * -2 = -16.
Now, the expression becomes: 4 + 24x - 16 - 7x.
Next, we can combine like terms: 24x - 7x = 17x.
Therefore, the simplified expression 4 + 8(3x - 2) - 7x is: 4 + 17x - 16.
Finally, let's calculate the sum: 4 + 17x - 16.
The final simplified expression is: 17x - 12.