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Simplifying 7x + 2y + 9z + -3x + 5z + -4y = 0 Reorder the terms: 7x + -3x + 2y + -4y + 9z + 5z = 0 Combine like terms: 7x + -3x = 4x 4x + 2y + -4y + 9z + 5z = 0 Combine like terms: 2y + -4y = -2y 4x + -2y + 9z + 5z = 0 Combine like terms: 9z + 5z = 14z 4x + -2y + 14z = 0 Solving 4x + -2y + 14z = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2y' to each side of the equation. 4x + -2y + 2y + 14z = 0 + 2y Combine like terms: -2y + 2y = 0 4x + 0 + 14z = 0 + 2y 4x + 14z = 0 + 2y Remove the zero: 4x + 14z = 2y Add '-14z' to each side of the equation. 4x + 14z + -14z = 2y + -14z Combine like terms: 14z + -14z = 0 4x + 0 = 2y + -14z 4x = 2y + -14z Divide each side by '4'. x = 0.5y + -3.5z Simplifying x = 0.5y + -3.5z
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