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Simplifying 10 + 10x + 30y + 30z = 0 Solving 10 + 10x + 30y + 30z = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + 10x + 30y + -10 + 30z = 0 + -10 Reorder the terms: 10 + -10 + 10x + 30y + 30z = 0 + -10 Combine like terms: 10 + -10 = 0 0 + 10x + 30y + 30z = 0 + -10 10x + 30y + 30z = 0 + -10 Combine like terms: 0 + -10 = -10 10x + 30y + 30z = -10 Add '-30y' to each side of the equation. 10x + 30y + -30y + 30z = -10 + -30y Combine like terms: 30y + -30y = 0 10x + 0 + 30z = -10 + -30y 10x + 30z = -10 + -30y Add '-30z' to each side of the equation. 10x + 30z + -30z = -10 + -30y + -30z Combine like terms: 30z + -30z = 0 10x + 0 = -10 + -30y + -30z 10x = -10 + -30y + -30z Divide each side by '10'. x = -1 + -3y + -3z Simplifying x = -1 + -3y + -3z
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