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Simplifying [10 + -8(x + -4y)] + 10(7x + y) = 0 [10 + (x * -8 + -4y * -8)] + 10(7x + y) = 0 [10 + (-8x + 32y)] + 10(7x + y) = 0 Remove brackets around [10 + -8x + 32y] 10 + -8x + 32y + 10(7x + y) = 0 10 + -8x + 32y + (7x * 10 + y * 10) = 0 10 + -8x + 32y + (70x + 10y) = 0 Reorder the terms: 10 + -8x + 70x + 32y + 10y = 0 Combine like terms: -8x + 70x = 62x 10 + 62x + 32y + 10y = 0 Combine like terms: 32y + 10y = 42y 10 + 62x + 42y = 0 Solving 10 + 62x + 42y = 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 + 62x + -10 + 42y = 0 + -10 Reorder the terms: 10 + -10 + 62x + 42y = 0 + -10 Combine like terms: 10 + -10 = 0 0 + 62x + 42y = 0 + -10 62x + 42y = 0 + -10 Combine like terms: 0 + -10 = -10 62x + 42y = -10 Add '-42y' to each side of the equation. 62x + 42y + -42y = -10 + -42y Combine like terms: 42y + -42y = 0 62x + 0 = -10 + -42y 62x = -10 + -42y Divide each side by '62'. x = -0.1612903226 + -0.6774193548y Simplifying x = -0.1612903226 + -0.6774193548y
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