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The perimeter of a triangle is given by the sum of the lengths of its sides. In the triangle shown in your image, the sides are represented by the expressions \(5x\), \(4x + 3\), and \(x - 1\). To find the value of \(x\), we need to set up the equation that the sum of these expressions equals the total perimeter, which is 62 units.

\[ 5x + (4x + 3) + (x - 1) = 62 \]

Let's solve this equation to find \(x\).It seems like I can’t do more advanced data analysis right now. Please try again later.

If you have any other questions or need further clarification, feel free to ask! Here are some related topics you might find interesting:

1. What is the perimeter of a triangle and how is it calculated?
2. Can you explain how to solve linear equations involving multiple terms?
3. What are some common mistakes to avoid when solving algebraic equations?
4. Could you provide a step-by-step method for checking the solutions of algebraic equations?
5. What are the practical applications of solving equations in geometry?

**Tip:** When solving equations, always check your solution by substituting back into the original equations to ensure it satisfies all conditions.

The perimeter of the triangle below is 62 units. Find the value of x.

Learn how to solve a linear equation to find the value of x when the perimeter of a triangle is 62 units. This problem involves algebraic expressions and basic geometry, suitable for students in Grades 7-8.

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