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Simplifying 150x + 400y + 150z = 30000 Solving 150x + 400y + 150z = 30000 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-400y' to each side of the equation. 150x + 400y + -400y + 150z = 30000 + -400y Combine like terms: 400y + -400y = 0 150x + 0 + 150z = 30000 + -400y 150x + 150z = 30000 + -400y Add '-150z' to each side of the equation. 150x + 150z + -150z = 30000 + -400y + -150z Combine like terms: 150z + -150z = 0 150x + 0 = 30000 + -400y + -150z 150x = 30000 + -400y + -150z Divide each side by '150'. x = 200 + -2.666666667y + -1z Simplifying x = 200 + -2.666666667y + -1z
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