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Simplifying [10 + -6(x + -5y)] + 7(5x + y) = 0 [10 + (x * -6 + -5y * -6)] + 7(5x + y) = 0 [10 + (-6x + 30y)] + 7(5x + y) = 0 Remove brackets around [10 + -6x + 30y] 10 + -6x + 30y + 7(5x + y) = 0 10 + -6x + 30y + (5x * 7 + y * 7) = 0 10 + -6x + 30y + (35x + 7y) = 0 Reorder the terms: 10 + -6x + 35x + 30y + 7y = 0 Combine like terms: -6x + 35x = 29x 10 + 29x + 30y + 7y = 0 Combine like terms: 30y + 7y = 37y 10 + 29x + 37y = 0 Solving 10 + 29x + 37y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + 29x + -10 + 37y = 0 + -10 Reorder the terms: 10 + -10 + 29x + 37y = 0 + -10 Combine like terms: 10 + -10 = 0 0 + 29x + 37y = 0 + -10 29x + 37y = 0 + -10 Combine like terms: 0 + -10 = -10 29x + 37y = -10 Add '-37y' to each side of the equation. 29x + 37y + -37y = -10 + -37y Combine like terms: 37y + -37y = 0 29x + 0 = -10 + -37y 29x = -10 + -37y Divide each side by '29'. x = -0.3448275862 + -1.275862069y Simplifying x = -0.3448275862 + -1.275862069y
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