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Simplifying 12x + 9y + 4z = 100 Solving 12x + 9y + 4z = 100 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9y' to each side of the equation. 12x + 9y + -9y + 4z = 100 + -9y Combine like terms: 9y + -9y = 0 12x + 0 + 4z = 100 + -9y 12x + 4z = 100 + -9y Add '-4z' to each side of the equation. 12x + 4z + -4z = 100 + -9y + -4z Combine like terms: 4z + -4z = 0 12x + 0 = 100 + -9y + -4z 12x = 100 + -9y + -4z Divide each side by '12'. x = 8.333333333 + -0.75y + -0.3333333333z Simplifying x = 8.333333333 + -0.75y + -0.3333333333z
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