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Simplifying [13 + -6(x + -5y)] + 8(7x + y) = 0 [13 + (x * -6 + -5y * -6)] + 8(7x + y) = 0 [13 + (-6x + 30y)] + 8(7x + y) = 0 Remove brackets around [13 + -6x + 30y] 13 + -6x + 30y + 8(7x + y) = 0 13 + -6x + 30y + (7x * 8 + y * 8) = 0 13 + -6x + 30y + (56x + 8y) = 0 Reorder the terms: 13 + -6x + 56x + 30y + 8y = 0 Combine like terms: -6x + 56x = 50x 13 + 50x + 30y + 8y = 0 Combine like terms: 30y + 8y = 38y 13 + 50x + 38y = 0 Solving 13 + 50x + 38y = 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 + 50x + -13 + 38y = 0 + -13 Reorder the terms: 13 + -13 + 50x + 38y = 0 + -13 Combine like terms: 13 + -13 = 0 0 + 50x + 38y = 0 + -13 50x + 38y = 0 + -13 Combine like terms: 0 + -13 = -13 50x + 38y = -13 Add '-38y' to each side of the equation. 50x + 38y + -38y = -13 + -38y Combine like terms: 38y + -38y = 0 50x + 0 = -13 + -38y 50x = -13 + -38y Divide each side by '50'. x = -0.26 + -0.76y Simplifying x = -0.26 + -0.76y
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