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Simplifying 2x + 3x + 4 + 5z + 6y + 7x + 8 + 9x + 10z + 11y + 12x + 13y = 0 Reorder the terms: 4 + 8 + 2x + 3x + 7x + 9x + 12x + 6y + 11y + 13y + 5z + 10z = 0 Combine like terms: 4 + 8 = 12 12 + 2x + 3x + 7x + 9x + 12x + 6y + 11y + 13y + 5z + 10z = 0 Combine like terms: 2x + 3x = 5x 12 + 5x + 7x + 9x + 12x + 6y + 11y + 13y + 5z + 10z = 0 Combine like terms: 5x + 7x = 12x 12 + 12x + 9x + 12x + 6y + 11y + 13y + 5z + 10z = 0 Combine like terms: 12x + 9x = 21x 12 + 21x + 12x + 6y + 11y + 13y + 5z + 10z = 0 Combine like terms: 21x + 12x = 33x 12 + 33x + 6y + 11y + 13y + 5z + 10z = 0 Combine like terms: 6y + 11y = 17y 12 + 33x + 17y + 13y + 5z + 10z = 0 Combine like terms: 17y + 13y = 30y 12 + 33x + 30y + 5z + 10z = 0 Combine like terms: 5z + 10z = 15z 12 + 33x + 30y + 15z = 0 Solving 12 + 33x + 30y + 15z = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + 33x + 30y + -12 + 15z = 0 + -12 Reorder the terms: 12 + -12 + 33x + 30y + 15z = 0 + -12 Combine like terms: 12 + -12 = 0 0 + 33x + 30y + 15z = 0 + -12 33x + 30y + 15z = 0 + -12 Combine like terms: 0 + -12 = -12 33x + 30y + 15z = -12 Add '-30y' to each side of the equation. 33x + 30y + -30y + 15z = -12 + -30y Combine like terms: 30y + -30y = 0 33x + 0 + 15z = -12 + -30y 33x + 15z = -12 + -30y Add '-15z' to each side of the equation. 33x + 15z + -15z = -12 + -30y + -15z Combine like terms: 15z + -15z = 0 33x + 0 = -12 + -30y + -15z 33x = -12 + -30y + -15z Divide each side by '33'. x = -0.3636363636 + -0.9090909091y + -0.4545454545z Simplifying x = -0.3636363636 + -0.9090909091y + -0.4545454545z
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