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How to explain the properties of each step
-27+(8x+24)-7x

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Answer:

Follow the order of operations, which is commonly known as PEMDAS (Parentheses, Exponents, Multiplication, Division from left to right, and Addition and Subtraction from left to right).

Explanation:

Step 1: Parentheses

We have the expression (8x + 24) inside parentheses. To simplify within the parentheses, we can combine like terms. Since there are no like terms to combine, we can rewrite this as 8x + 24.

Step 2: Multiplication

Next, we can distribute the -1 outside the parentheses to each term within the parentheses. Multiplying -1 by 8x gives us -8x, and multiplying -1 by 24 gives us -24. The expression now becomes -8x + 24.

Step 3: Addition and Subtraction

Now, we can combine like terms in the expression. We have -27 + (-8x + 24) - 7x. Combining -27 and 24 gives us -3. So, the expression becomes -3 + (-8x) - 7x.

Step 4: Combine Like Terms

Finally, we can combine the like terms -8x and -7x, which gives us -15x. So, the final simplified expression is -3 - 15x.

To improve your grade I would paraphrase my answer because this is according to The Math Webster.

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