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Simplifying 10x + 3y + 9z + -5x + 5z + -4y = 0 Reorder the terms: 10x + -5x + 3y + -4y + 9z + 5z = 0 Combine like terms: 10x + -5x = 5x 5x + 3y + -4y + 9z + 5z = 0 Combine like terms: 3y + -4y = -1y 5x + -1y + 9z + 5z = 0 Combine like terms: 9z + 5z = 14z 5x + -1y + 14z = 0 Solving 5x + -1y + 14z = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'y' to each side of the equation. 5x + -1y + y + 14z = 0 + y Combine like terms: -1y + y = 0 5x + 0 + 14z = 0 + y 5x + 14z = 0 + y Remove the zero: 5x + 14z = y Add '-14z' to each side of the equation. 5x + 14z + -14z = y + -14z Combine like terms: 14z + -14z = 0 5x + 0 = y + -14z 5x = y + -14z Divide each side by '5'. x = 0.2y + -2.8z Simplifying x = 0.2y + -2.8z
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