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Simplifying [13 + -5(x + -4y)] + 9(7x + y) = 0 [13 + (x * -5 + -4y * -5)] + 9(7x + y) = 0 [13 + (-5x + 20y)] + 9(7x + y) = 0 Remove brackets around [13 + -5x + 20y] 13 + -5x + 20y + 9(7x + y) = 0 13 + -5x + 20y + (7x * 9 + y * 9) = 0 13 + -5x + 20y + (63x + 9y) = 0 Reorder the terms: 13 + -5x + 63x + 20y + 9y = 0 Combine like terms: -5x + 63x = 58x 13 + 58x + 20y + 9y = 0 Combine like terms: 20y + 9y = 29y 13 + 58x + 29y = 0 Solving 13 + 58x + 29y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + 58x + -13 + 29y = 0 + -13 Reorder the terms: 13 + -13 + 58x + 29y = 0 + -13 Combine like terms: 13 + -13 = 0 0 + 58x + 29y = 0 + -13 58x + 29y = 0 + -13 Combine like terms: 0 + -13 = -13 58x + 29y = -13 Add '-29y' to each side of the equation. 58x + 29y + -29y = -13 + -29y Combine like terms: 29y + -29y = 0 58x + 0 = -13 + -29y 58x = -13 + -29y Divide each side by '58'. x = -0.224137931 + -0.5y Simplifying x = -0.224137931 + -0.5y
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