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Simplifying 3x + 11y + -10z + -5y + -4z + 12x = 0 Reorder the terms: 3x + 12x + 11y + -5y + -10z + -4z = 0 Combine like terms: 3x + 12x = 15x 15x + 11y + -5y + -10z + -4z = 0 Combine like terms: 11y + -5y = 6y 15x + 6y + -10z + -4z = 0 Combine like terms: -10z + -4z = -14z 15x + 6y + -14z = 0 Solving 15x + 6y + -14z = 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. 15x + 6y + -6y + -14z = 0 + -6y Combine like terms: 6y + -6y = 0 15x + 0 + -14z = 0 + -6y 15x + -14z = 0 + -6y Remove the zero: 15x + -14z = -6y Add '14z' to each side of the equation. 15x + -14z + 14z = -6y + 14z Combine like terms: -14z + 14z = 0 15x + 0 = -6y + 14z 15x = -6y + 14z Divide each side by '15'. x = -0.4y + 0.9333333333z Simplifying x = -0.4y + 0.9333333333z
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