The expression you provided is:

\[
5x - 8 |2 - 7| + 2x
\]

Let's break it down step by step:

1. The absolute value \( |2 - 7| = | -5 | = 5 \).
   
   So the expression becomes:
   \[
   5x - 8 \cdot 5 + 2x
   \]
   Simplifying further:
   \[
   5x - 40 + 2x
   \]
   
2. Combine like terms:
   \[
   (5x + 2x) - 40 = 7x - 40
   \]
   
3. Now, substitute \( x = 1 \):
   \[
   7(1) - 40 = 7 - 40 = -33
   \]

So, the result of the expression when \( x = 1 \) is \(-33\).

Do you want more details or have any questions?

Here are 5 related questions to consider:

1. What is the absolute value and how does it affect calculations?
2. How do you simplify expressions involving like terms?
3. What happens if you substitute different values for \( x \)?
4. How do you approach expressions with variables inside absolute values?
5. How do you solve equations that include absolute values?

**Tip**: When solving problems with absolute values, always compute the absolute value first before handling other operations like multiplication or addition.

Discover how to simplify the algebraic expression 5x - 8|2 - 7| + 2x and solve it for x = 1. This step-by-step solution breaks down key concepts such as absolute values and combining like terms, perfect for students in Grades 6-8.

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