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Simplifying [11 + -8(x + -2y)] + 10(3x + y) = 0 [11 + (x * -8 + -2y * -8)] + 10(3x + y) = 0 [11 + (-8x + 16y)] + 10(3x + y) = 0 Remove brackets around [11 + -8x + 16y] 11 + -8x + 16y + 10(3x + y) = 0 11 + -8x + 16y + (3x * 10 + y * 10) = 0 11 + -8x + 16y + (30x + 10y) = 0 Reorder the terms: 11 + -8x + 30x + 16y + 10y = 0 Combine like terms: -8x + 30x = 22x 11 + 22x + 16y + 10y = 0 Combine like terms: 16y + 10y = 26y 11 + 22x + 26y = 0 Solving 11 + 22x + 26y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + 22x + -11 + 26y = 0 + -11 Reorder the terms: 11 + -11 + 22x + 26y = 0 + -11 Combine like terms: 11 + -11 = 0 0 + 22x + 26y = 0 + -11 22x + 26y = 0 + -11 Combine like terms: 0 + -11 = -11 22x + 26y = -11 Add '-26y' to each side of the equation. 22x + 26y + -26y = -11 + -26y Combine like terms: 26y + -26y = 0 22x + 0 = -11 + -26y 22x = -11 + -26y Divide each side by '22'. x = -0.5 + -1.181818182y Simplifying x = -0.5 + -1.181818182y
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