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Simplifying 30x + 20y + 50z = 1500 Solving 30x + 20y + 50z = 1500 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20y' to each side of the equation. 30x + 20y + -20y + 50z = 1500 + -20y Combine like terms: 20y + -20y = 0 30x + 0 + 50z = 1500 + -20y 30x + 50z = 1500 + -20y Add '-50z' to each side of the equation. 30x + 50z + -50z = 1500 + -20y + -50z Combine like terms: 50z + -50z = 0 30x + 0 = 1500 + -20y + -50z 30x = 1500 + -20y + -50z Divide each side by '30'. x = 50 + -0.6666666667y + -1.666666667z Simplifying x = 50 + -0.6666666667y + -1.666666667z
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