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Simplifying 12X + 6Y + 7Z = 6000 Solving 12X + 6Y + 7Z = 6000 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. 12X + 6Y + -6Y + 7Z = 6000 + -6Y Combine like terms: 6Y + -6Y = 0 12X + 0 + 7Z = 6000 + -6Y 12X + 7Z = 6000 + -6Y Add '-7Z' to each side of the equation. 12X + 7Z + -7Z = 6000 + -6Y + -7Z Combine like terms: 7Z + -7Z = 0 12X + 0 = 6000 + -6Y + -7Z 12X = 6000 + -6Y + -7Z Divide each side by '12'. X = 500 + -0.5Y + -0.5833333333Z Simplifying X = 500 + -0.5Y + -0.5833333333Z
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