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Simplifying [10 + -4(x + -2y)] + 8(5x + y) = 0 [10 + (x * -4 + -2y * -4)] + 8(5x + y) = 0 [10 + (-4x + 8y)] + 8(5x + y) = 0 Remove brackets around [10 + -4x + 8y] 10 + -4x + 8y + 8(5x + y) = 0 10 + -4x + 8y + (5x * 8 + y * 8) = 0 10 + -4x + 8y + (40x + 8y) = 0 Reorder the terms: 10 + -4x + 40x + 8y + 8y = 0 Combine like terms: -4x + 40x = 36x 10 + 36x + 8y + 8y = 0 Combine like terms: 8y + 8y = 16y 10 + 36x + 16y = 0 Solving 10 + 36x + 16y = 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 + 36x + -10 + 16y = 0 + -10 Reorder the terms: 10 + -10 + 36x + 16y = 0 + -10 Combine like terms: 10 + -10 = 0 0 + 36x + 16y = 0 + -10 36x + 16y = 0 + -10 Combine like terms: 0 + -10 = -10 36x + 16y = -10 Add '-16y' to each side of the equation. 36x + 16y + -16y = -10 + -16y Combine like terms: 16y + -16y = 0 36x + 0 = -10 + -16y 36x = -10 + -16y Divide each side by '36'. x = -0.2777777778 + -0.4444444444y Simplifying x = -0.2777777778 + -0.4444444444y
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