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The equation given is:

\[
K = \begin{pmatrix} -1 & 5 \\ 3 & -7 \end{pmatrix} \quad \text{dan} \quad L = \begin{pmatrix} -1 & 10 \\ x & -7 \end{pmatrix}
\]

You are asked to find the value of \( x \) such that \( K = L \).

For two matrices to be equal, their corresponding elements must be equal. So, we can equate the elements in the same positions:

\[
\begin{aligned}
-1 &= -1 \quad \text{(Top left elements are equal)} \\
5 &= 10 \quad \text{(Top right elements do not match, but this part doesn't impact finding \( x \))} \\
3 &= x \quad \text{(Bottom left elements)} \\
-7 &= -7 \quad \text{(Bottom right elements are equal)}
\end{aligned}
\]

From the bottom left element comparison:

\[
x = 3
\]

Thus, the value of \( x \) is \( 3 \).

Would you like any further details or have any questions?

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Here are 5 related questions:
1. What are the conditions for two matrices to be equal?
2. How can you solve for unknowns in matrices with multiple variables?
3. What happens if one or more elements of two matrices are not equal?
4. How do you solve systems of equations that involve matrices?
5. What are the applications of matrix equality in linear algebra?

**Tip**: When solving matrix equality problems, always compare elements at corresponding positions to set up equations.

Discover how to solve for x when two matrices K and L are given. Learn how to apply the concept of matrix equality by equating corresponding elements. This problem demonstrates how to find the value of x in matrix equations, suitable for students in Grades 10-12.

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