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Simplifying [13 + -6(x + -5y)] + 10(9x + y) = 0 [13 + (x * -6 + -5y * -6)] + 10(9x + y) = 0 [13 + (-6x + 30y)] + 10(9x + y) = 0 Remove brackets around [13 + -6x + 30y] 13 + -6x + 30y + 10(9x + y) = 0 13 + -6x + 30y + (9x * 10 + y * 10) = 0 13 + -6x + 30y + (90x + 10y) = 0 Reorder the terms: 13 + -6x + 90x + 30y + 10y = 0 Combine like terms: -6x + 90x = 84x 13 + 84x + 30y + 10y = 0 Combine like terms: 30y + 10y = 40y 13 + 84x + 40y = 0 Solving 13 + 84x + 40y = 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 + 84x + -13 + 40y = 0 + -13 Reorder the terms: 13 + -13 + 84x + 40y = 0 + -13 Combine like terms: 13 + -13 = 0 0 + 84x + 40y = 0 + -13 84x + 40y = 0 + -13 Combine like terms: 0 + -13 = -13 84x + 40y = -13 Add '-40y' to each side of the equation. 84x + 40y + -40y = -13 + -40y Combine like terms: 40y + -40y = 0 84x + 0 = -13 + -40y 84x = -13 + -40y Divide each side by '84'. x = -0.1547619048 + -0.4761904762y Simplifying x = -0.1547619048 + -0.4761904762y
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