To determine if \( x = 25 \) satisfies the equation, we substitute \( x = 25 \) into the expression:

\[
\frac{x}{6} - 1 + 4
\]

Replacing \( x \) with 25:

\[
\frac{25}{6} - 1 + 4
\]

1. First, calculate \( \frac{25}{6} \):
   \[
   \frac{25}{6} \approx 4.1667
   \]

2. Next, subtract 1:
   \[
   4.1667 - 1 = 3.1667
   \]

3. Then, add 4:
   \[
   3.1667 + 4 = 7.1667
   \]

So, when \( x = 25 \), the expression evaluates to approximately 7.167, **not an exact whole number**. 

Thus, \( x = 25 \) does not yield a simple integer solution for this expression.

---

Would you like further details or have any questions?

Here are some related questions to expand on this topic:

1. What happens if we change the fraction's denominator to another number?
2. How would the equation change if the constant values were adjusted?
3. How can we rearrange the equation to solve for \( x \) directly?
4. How would we check solutions for different types of equations, like quadratic ones?
5. Are there values of \( x \) that make this expression a whole number?

**Tip:** When evaluating an expression with fractions, it’s helpful to simplify or approximate at each step for clarity!

Explore the process of evaluating the algebraic expression x/6 - 1 + 4 by substituting x = 25. Follow a step-by-step solution that involves fraction calculations, subtraction, and addition. Suitable for middle school students (Grades 6-8).

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