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Simplifying [10 + -6(x + -5y)] + 10(7x + y) = 0 [10 + (x * -6 + -5y * -6)] + 10(7x + y) = 0 [10 + (-6x + 30y)] + 10(7x + y) = 0 Remove brackets around [10 + -6x + 30y] 10 + -6x + 30y + 10(7x + y) = 0 10 + -6x + 30y + (7x * 10 + y * 10) = 0 10 + -6x + 30y + (70x + 10y) = 0 Reorder the terms: 10 + -6x + 70x + 30y + 10y = 0 Combine like terms: -6x + 70x = 64x 10 + 64x + 30y + 10y = 0 Combine like terms: 30y + 10y = 40y 10 + 64x + 40y = 0 Solving 10 + 64x + 40y = 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 + 64x + -10 + 40y = 0 + -10 Reorder the terms: 10 + -10 + 64x + 40y = 0 + -10 Combine like terms: 10 + -10 = 0 0 + 64x + 40y = 0 + -10 64x + 40y = 0 + -10 Combine like terms: 0 + -10 = -10 64x + 40y = -10 Add '-40y' to each side of the equation. 64x + 40y + -40y = -10 + -40y Combine like terms: 40y + -40y = 0 64x + 0 = -10 + -40y 64x = -10 + -40y Divide each side by '64'. x = -0.15625 + -0.625y Simplifying x = -0.15625 + -0.625y
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