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Simplifying 5x + 4y + 5z + -2x + 4z + -6y = 0 Reorder the terms: 5x + -2x + 4y + -6y + 5z + 4z = 0 Combine like terms: 5x + -2x = 3x 3x + 4y + -6y + 5z + 4z = 0 Combine like terms: 4y + -6y = -2y 3x + -2y + 5z + 4z = 0 Combine like terms: 5z + 4z = 9z 3x + -2y + 9z = 0 Solving 3x + -2y + 9z = 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. 3x + -2y + 2y + 9z = 0 + 2y Combine like terms: -2y + 2y = 0 3x + 0 + 9z = 0 + 2y 3x + 9z = 0 + 2y Remove the zero: 3x + 9z = 2y Add '-9z' to each side of the equation. 3x + 9z + -9z = 2y + -9z Combine like terms: 9z + -9z = 0 3x + 0 = 2y + -9z 3x = 2y + -9z Divide each side by '3'. x = 0.6666666667y + -3z Simplifying x = 0.6666666667y + -3z
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