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Simplifying 5x + 4z = 10z + -2x Reorder the terms: 5x + 4z = -2x + 10z Solving 5x + 4z = -2x + 10z Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 5x + 2x + 4z = -2x + 2x + 10z Combine like terms: 5x + 2x = 7x 7x + 4z = -2x + 2x + 10z Combine like terms: -2x + 2x = 0 7x + 4z = 0 + 10z 7x + 4z = 10z Add '-4z' to each side of the equation. 7x + 4z + -4z = 10z + -4z Combine like terms: 4z + -4z = 0 7x + 0 = 10z + -4z 7x = 10z + -4z Combine like terms: 10z + -4z = 6z 7x = 6z Divide each side by '7'. x = 0.8571428571z Simplifying x = 0.8571428571z
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