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Simplifying 12x + 2y + 6z = 3000 Solving 12x + 2y + 6z = 3000 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2y' to each side of the equation. 12x + 2y + -2y + 6z = 3000 + -2y Combine like terms: 2y + -2y = 0 12x + 0 + 6z = 3000 + -2y 12x + 6z = 3000 + -2y Add '-6z' to each side of the equation. 12x + 6z + -6z = 3000 + -2y + -6z Combine like terms: 6z + -6z = 0 12x + 0 = 3000 + -2y + -6z 12x = 3000 + -2y + -6z Divide each side by '12'. x = 250 + -0.1666666667y + -0.5z Simplifying x = 250 + -0.1666666667y + -0.5z
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