Find the value of x for which DE`abs()`AB in given figure.

Explanation

To find the value of \( x \) for which \( DE \parallel AB \) in the given figure, we can use the Basic Proportionality Theorem (also known as Thales' theorem). Here’s a step-by-step solution:

### Step 1: Set up the proportion
Since \( DE \parallel AB \), we can use the Basic Proportionality Theorem which states that:
\[ \frac{CD}{AD} = \frac{CE}{BE} \]
Given:
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