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Simplifying 10x + 30y + 35z = 120 Solving 10x + 30y + 35z = 120 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-30y' to each side of the equation. 10x + 30y + -30y + 35z = 120 + -30y Combine like terms: 30y + -30y = 0 10x + 0 + 35z = 120 + -30y 10x + 35z = 120 + -30y Add '-35z' to each side of the equation. 10x + 35z + -35z = 120 + -30y + -35z Combine like terms: 35z + -35z = 0 10x + 0 = 120 + -30y + -35z 10x = 120 + -30y + -35z Divide each side by '10'. x = 12 + -3y + -3.5z Simplifying x = 12 + -3y + -3.5z
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