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Simplifying [13 + -4(x + -2y)] + 5(4x + y) = 0 [13 + (x * -4 + -2y * -4)] + 5(4x + y) = 0 [13 + (-4x + 8y)] + 5(4x + y) = 0 Remove brackets around [13 + -4x + 8y] 13 + -4x + 8y + 5(4x + y) = 0 13 + -4x + 8y + (4x * 5 + y * 5) = 0 13 + -4x + 8y + (20x + 5y) = 0 Reorder the terms: 13 + -4x + 20x + 8y + 5y = 0 Combine like terms: -4x + 20x = 16x 13 + 16x + 8y + 5y = 0 Combine like terms: 8y + 5y = 13y 13 + 16x + 13y = 0 Solving 13 + 16x + 13y = 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 + 16x + -13 + 13y = 0 + -13 Reorder the terms: 13 + -13 + 16x + 13y = 0 + -13 Combine like terms: 13 + -13 = 0 0 + 16x + 13y = 0 + -13 16x + 13y = 0 + -13 Combine like terms: 0 + -13 = -13 16x + 13y = -13 Add '-13y' to each side of the equation. 16x + 13y + -13y = -13 + -13y Combine like terms: 13y + -13y = 0 16x + 0 = -13 + -13y 16x = -13 + -13y Divide each side by '16'. x = -0.8125 + -0.8125y Simplifying x = -0.8125 + -0.8125y
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