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Simplifying 8x + 2y + 6z + -3x + 3z + -6y = 0 Reorder the terms: 8x + -3x + 2y + -6y + 6z + 3z = 0 Combine like terms: 8x + -3x = 5x 5x + 2y + -6y + 6z + 3z = 0 Combine like terms: 2y + -6y = -4y 5x + -4y + 6z + 3z = 0 Combine like terms: 6z + 3z = 9z 5x + -4y + 9z = 0 Solving 5x + -4y + 9z = 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. 5x + -4y + 4y + 9z = 0 + 4y Combine like terms: -4y + 4y = 0 5x + 0 + 9z = 0 + 4y 5x + 9z = 0 + 4y Remove the zero: 5x + 9z = 4y Add '-9z' to each side of the equation. 5x + 9z + -9z = 4y + -9z Combine like terms: 9z + -9z = 0 5x + 0 = 4y + -9z 5x = 4y + -9z Divide each side by '5'. x = 0.8y + -1.8z Simplifying x = 0.8y + -1.8z
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