Step 1: Distributive property

Question

Multiply 8 by each term inside the parentheses:
4 + 8 * 3x - 8 * 2 - 7x

Step 2: Simplify the multiplication
Multiply within each term:
4 + 24x - 16 - 7x

Step 3: Combine like terms
Combine the terms with the same variable:
(24x - 7x) + 4 - 16

Step 4: Simplify further
Subtract the coefficients of x: (24 - 7)x
Combine the constant terms: 4 - 16

Step 5: Final result
Simplify the expression:
17x - 12

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Answer 1

Sure! Let's go through the steps again using more conversational language:

Step 1: Distributive property
We need to multiply 8 by each term inside the parentheses. So, we have 4 + 8 multiplied by 3x minus 8 multiplied by 2 minus 7x.

Step 2: Simplify the multiplication
Let's do the multiplication within each term. We get 4 + 24x minus 16 minus 7x.

Step 3: Combine like terms
Now we can combine the terms that have the same variable. So, we have (24x minus 7x) plus 4 minus 16.

Step 4: Simplify further
To simplify, we need to subtract the coefficients of x, which gives us 17x. And when we combine the constant terms, we get -12.

Step 5: Final result
Putting it all together, the simplified expression is 17x minus 12.