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Simplifying 6x + 5y + 8z + -4x + 4z + -9y = 0 Reorder the terms: 6x + -4x + 5y + -9y + 8z + 4z = 0 Combine like terms: 6x + -4x = 2x 2x + 5y + -9y + 8z + 4z = 0 Combine like terms: 5y + -9y = -4y 2x + -4y + 8z + 4z = 0 Combine like terms: 8z + 4z = 12z 2x + -4y + 12z = 0 Solving 2x + -4y + 12z = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4y' to each side of the equation. 2x + -4y + 4y + 12z = 0 + 4y Combine like terms: -4y + 4y = 0 2x + 0 + 12z = 0 + 4y 2x + 12z = 0 + 4y Remove the zero: 2x + 12z = 4y Add '-12z' to each side of the equation. 2x + 12z + -12z = 4y + -12z Combine like terms: 12z + -12z = 0 2x + 0 = 4y + -12z 2x = 4y + -12z Divide each side by '2'. x = 2y + -6z Simplifying x = 2y + -6z
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