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Simplifying 0.20(150x + -80y + 50 + -50x + -25y + 20) = 0 Reorder the terms: 0.20(50 + 20 + 150x + -50x + -80y + -25y) = 0 Combine like terms: 50 + 20 = 70 0.20(70 + 150x + -50x + -80y + -25y) = 0 Combine like terms: 150x + -50x = 100x 0.20(70 + 100x + -80y + -25y) = 0 Combine like terms: -80y + -25y = -105y 0.20(70 + 100x + -105y) = 0 (70 * 0.20 + 100x * 0.20 + -105y * 0.20) = 0 (14 + 20x + -21y) = 0 Solving 14 + 20x + -21y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + 20x + -14 + -21y = 0 + -14 Reorder the terms: 14 + -14 + 20x + -21y = 0 + -14 Combine like terms: 14 + -14 = 0 0 + 20x + -21y = 0 + -14 20x + -21y = 0 + -14 Combine like terms: 0 + -14 = -14 20x + -21y = -14 Add '21y' to each side of the equation. 20x + -21y + 21y = -14 + 21y Combine like terms: -21y + 21y = 0 20x + 0 = -14 + 21y 20x = -14 + 21y Divide each side by '20'. x = -0.7 + 1.05y Simplifying x = -0.7 + 1.05y
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