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Simplifying [13 + -8(x + -2y)] + 10(7x + y) = 0 [13 + (x * -8 + -2y * -8)] + 10(7x + y) = 0 [13 + (-8x + 16y)] + 10(7x + y) = 0 Remove brackets around [13 + -8x + 16y] 13 + -8x + 16y + 10(7x + y) = 0 13 + -8x + 16y + (7x * 10 + y * 10) = 0 13 + -8x + 16y + (70x + 10y) = 0 Reorder the terms: 13 + -8x + 70x + 16y + 10y = 0 Combine like terms: -8x + 70x = 62x 13 + 62x + 16y + 10y = 0 Combine like terms: 16y + 10y = 26y 13 + 62x + 26y = 0 Solving 13 + 62x + 26y = 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 + 62x + -13 + 26y = 0 + -13 Reorder the terms: 13 + -13 + 62x + 26y = 0 + -13 Combine like terms: 13 + -13 = 0 0 + 62x + 26y = 0 + -13 62x + 26y = 0 + -13 Combine like terms: 0 + -13 = -13 62x + 26y = -13 Add '-26y' to each side of the equation. 62x + 26y + -26y = -13 + -26y Combine like terms: 26y + -26y = 0 62x + 0 = -13 + -26y 62x = -13 + -26y Divide each side by '62'. x = -0.2096774194 + -0.4193548387y Simplifying x = -0.2096774194 + -0.4193548387y
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