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Simplifying 12x + 4y + 8x + -5z + 2y + -10z = 0 Reorder the terms: 12x + 8x + 4y + 2y + -5z + -10z = 0 Combine like terms: 12x + 8x = 20x 20x + 4y + 2y + -5z + -10z = 0 Combine like terms: 4y + 2y = 6y 20x + 6y + -5z + -10z = 0 Combine like terms: -5z + -10z = -15z 20x + 6y + -15z = 0 Solving 20x + 6y + -15z = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6y' to each side of the equation. 20x + 6y + -6y + -15z = 0 + -6y Combine like terms: 6y + -6y = 0 20x + 0 + -15z = 0 + -6y 20x + -15z = 0 + -6y Remove the zero: 20x + -15z = -6y Add '15z' to each side of the equation. 20x + -15z + 15z = -6y + 15z Combine like terms: -15z + 15z = 0 20x + 0 = -6y + 15z 20x = -6y + 15z Divide each side by '20'. x = -0.3y + 0.75z Simplifying x = -0.3y + 0.75z
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