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Simplifying 6x + 9y + -4z + -4x + 5z = 0 Reorder the terms: 6x + -4x + 9y + -4z + 5z = 0 Combine like terms: 6x + -4x = 2x 2x + 9y + -4z + 5z = 0 Combine like terms: -4z + 5z = 1z 2x + 9y + 1z = 0 Solving 2x + 9y + 1z = 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. 2x + 9y + -9y + 1z = 0 + -9y Combine like terms: 9y + -9y = 0 2x + 0 + 1z = 0 + -9y 2x + 1z = 0 + -9y Remove the zero: 2x + 1z = -9y Add '-1z' to each side of the equation. 2x + 1z + -1z = -9y + -1z Combine like terms: 1z + -1z = 0 2x + 0 = -9y + -1z 2x = -9y + -1z Divide each side by '2'. x = -4.5y + -0.5z Simplifying x = -4.5y + -0.5z
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