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Simplifying [9 + -5(x + -4y)] + 9(7x + -1y) = 0 [9 + (x * -5 + -4y * -5)] + 9(7x + -1y) = 0 [9 + (-5x + 20y)] + 9(7x + -1y) = 0 Remove brackets around [9 + -5x + 20y] 9 + -5x + 20y + 9(7x + -1y) = 0 9 + -5x + 20y + (7x * 9 + -1y * 9) = 0 9 + -5x + 20y + (63x + -9y) = 0 Reorder the terms: 9 + -5x + 63x + 20y + -9y = 0 Combine like terms: -5x + 63x = 58x 9 + 58x + 20y + -9y = 0 Combine like terms: 20y + -9y = 11y 9 + 58x + 11y = 0 Solving 9 + 58x + 11y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + 58x + -9 + 11y = 0 + -9 Reorder the terms: 9 + -9 + 58x + 11y = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 58x + 11y = 0 + -9 58x + 11y = 0 + -9 Combine like terms: 0 + -9 = -9 58x + 11y = -9 Add '-11y' to each side of the equation. 58x + 11y + -11y = -9 + -11y Combine like terms: 11y + -11y = 0 58x + 0 = -9 + -11y 58x = -9 + -11y Divide each side by '58'. x = -0.1551724138 + -0.1896551724y Simplifying x = -0.1551724138 + -0.1896551724y
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