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Simplifying 10x + 9y + 5z = 0 Solving 10x + 9y + 5z = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9y' to each side of the equation. 10x + 9y + -9y + 5z = 0 + -9y Combine like terms: 9y + -9y = 0 10x + 0 + 5z = 0 + -9y 10x + 5z = 0 + -9y Remove the zero: 10x + 5z = -9y Add '-5z' to each side of the equation. 10x + 5z + -5z = -9y + -5z Combine like terms: 5z + -5z = 0 10x + 0 = -9y + -5z 10x = -9y + -5z Divide each side by '10'. x = -0.9y + -0.5z Simplifying x = -0.9y + -0.5z
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