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I'm sorry, I don't understand what you're trying to communicate. Can you please provide more information or ask a question?
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)
To simplify the expression 4 + 8(3x - 2) - 7x, we need to follow the order of operations and apply the commutative and distributive properties. Here's the step-by-step solution:
1. Distributive Property:
8(3x - 2) can be expanded as 8 * 3x - 8 * 2 = 24x - 16.
Now our expression becomes: 4 + 24x - 16 - 7x.
2. Combining like terms:
Combine the terms 24x and -7x to get 17x.
Our expression now becomes: 4 + 17x - 16.
3. Commutative Property:
Rearrange the terms to get like terms together:
4 - 16 + 17x.
4. Simplifying:
Subtract 16 from 4 to get -12.
The simplified expression is:
-12 + 17x.
Therefore, the simplified form of 4 + 8(3x - 2) - 7x is -12 + 17x.
you sure?
Apologies for the mistake in my previous response.
Let's simplify the expression correctly:
Using the distributive property:
4 + 8(3x - 2) - 7x
= 4 + 24x - 16 - 7x
Combining like terms:
= (24x - 7x) + (4 - 16)
= 17x - 12
Therefore, the simplified form of the expression 4 + 8(3x - 2) - 7x is 17x - 12.
is that correct?
I apologize for my mistake. Let's go through the simplification process again:
4 + 8(3x - 2) - 7x
First, let's simplify the expression within the parentheses:
3x - 2
Now, let's distribute the 8 to the terms inside the parentheses:
8 * 3x - 8 * 2
= 24x - 16
Now, let's rewrite the simplified expression:
4 + 24x - 16 - 7x
Next, let's combine the like terms:
(24x - 7x) + (4 - 16)
= 17x - 12
Therefore, the correct simplified form of the expression 4 + 8(3x - 2) - 7x is 17x - 12. I apologize for the previous incorrect response.