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Simplifying 5x + 10z + 9x + -8z = 0 Reorder the terms: 5x + 9x + 10z + -8z = 0 Combine like terms: 5x + 9x = 14x 14x + 10z + -8z = 0 Combine like terms: 10z + -8z = 2z 14x + 2z = 0 Solving 14x + 2z = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2z' to each side of the equation. 14x + 2z + -2z = 0 + -2z Combine like terms: 2z + -2z = 0 14x + 0 = 0 + -2z 14x = 0 + -2z Remove the zero: 14x = -2z Divide each side by '14'. x = -0.1428571429z Simplifying x = -0.1428571429z
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