Solution:
1. Start with the given equation:
* 5x + 4z = 10z - 2x
2. Move the terms involving x to one side of the equation:
* 5x + 2x = 10z - 4z
3. Combine like terms:
* 7x = 6z
4. Solve for x by dividing both sides by 7:
* x = \frac{6z}{7}
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