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Simplifying 15x + 20y + 30z = 500 Solving 15x + 20y + 30z = 500 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. 15x + 20y + -20y + 30z = 500 + -20y Combine like terms: 20y + -20y = 0 15x + 0 + 30z = 500 + -20y 15x + 30z = 500 + -20y Add '-30z' to each side of the equation. 15x + 30z + -30z = 500 + -20y + -30z Combine like terms: 30z + -30z = 0 15x + 0 = 500 + -20y + -30z 15x = 500 + -20y + -30z Divide each side by '15'. x = 33.33333333 + -1.333333333y + -2z Simplifying x = 33.33333333 + -1.333333333y + -2z
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