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.
can you make this sound like a 7th grader
Step 1: Okay, so first we gotta do something called the distributive property. That means we gotta multiply 8 by each thing inside the parentheses. So, we do 8 times 3x, which gives us 24x. Then we do 8 times 2, which gives us 16. And lastly, we do 8 times -7x, which gives us -56x. Phew!
Step 2: Now, let's simplify those big numbers we got. We got 4, the 24x, the 16, and the -56x.
Step 3: Next, we gotta put all the similar terms together. The "x" terms are the ones with the "x" in them, like 24x and -56x. So, we add them up. We also add the plain numbers, like 4 and 16.
Step 4: Now, we gotta do some math with those terms. So, 24x minus 56x gives us -32x. And when we add 4 and 16, we get 20.
Step 5: Lastly, let's put it all together. So, the final answer is -32x plus 20.