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Simplifying 9x + 3y + -5z + 8y + -4x + 12z = 0 Reorder the terms: 9x + -4x + 3y + 8y + -5z + 12z = 0 Combine like terms: 9x + -4x = 5x 5x + 3y + 8y + -5z + 12z = 0 Combine like terms: 3y + 8y = 11y 5x + 11y + -5z + 12z = 0 Combine like terms: -5z + 12z = 7z 5x + 11y + 7z = 0 Solving 5x + 11y + 7z = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11y' to each side of the equation. 5x + 11y + -11y + 7z = 0 + -11y Combine like terms: 11y + -11y = 0 5x + 0 + 7z = 0 + -11y 5x + 7z = 0 + -11y Remove the zero: 5x + 7z = -11y Add '-7z' to each side of the equation. 5x + 7z + -7z = -11y + -7z Combine like terms: 7z + -7z = 0 5x + 0 = -11y + -7z 5x = -11y + -7z Divide each side by '5'. x = -2.2y + -1.4z Simplifying x = -2.2y + -1.4z
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