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Simplifying 10(5x + 2y) + -1(150 + -10x) = 0 (5x * 10 + 2y * 10) + -1(150 + -10x) = 0 (50x + 20y) + -1(150 + -10x) = 0 50x + 20y + (150 * -1 + -10x * -1) = 0 50x + 20y + (-150 + 10x) = 0 Reorder the terms: -150 + 50x + 10x + 20y = 0 Combine like terms: 50x + 10x = 60x -150 + 60x + 20y = 0 Solving -150 + 60x + 20y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '150' to each side of the equation. -150 + 60x + 150 + 20y = 0 + 150 Reorder the terms: -150 + 150 + 60x + 20y = 0 + 150 Combine like terms: -150 + 150 = 0 0 + 60x + 20y = 0 + 150 60x + 20y = 0 + 150 Combine like terms: 0 + 150 = 150 60x + 20y = 150 Add '-20y' to each side of the equation. 60x + 20y + -20y = 150 + -20y Combine like terms: 20y + -20y = 0 60x + 0 = 150 + -20y 60x = 150 + -20y Divide each side by '60'. x = 2.5 + -0.3333333333y Simplifying x = 2.5 + -0.3333333333y
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