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Simplifying [12 + -8(x + -3y)] + 10(9x + y) = 0 [12 + (x * -8 + -3y * -8)] + 10(9x + y) = 0 [12 + (-8x + 24y)] + 10(9x + y) = 0 Remove brackets around [12 + -8x + 24y] 12 + -8x + 24y + 10(9x + y) = 0 12 + -8x + 24y + (9x * 10 + y * 10) = 0 12 + -8x + 24y + (90x + 10y) = 0 Reorder the terms: 12 + -8x + 90x + 24y + 10y = 0 Combine like terms: -8x + 90x = 82x 12 + 82x + 24y + 10y = 0 Combine like terms: 24y + 10y = 34y 12 + 82x + 34y = 0 Solving 12 + 82x + 34y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + 82x + -12 + 34y = 0 + -12 Reorder the terms: 12 + -12 + 82x + 34y = 0 + -12 Combine like terms: 12 + -12 = 0 0 + 82x + 34y = 0 + -12 82x + 34y = 0 + -12 Combine like terms: 0 + -12 = -12 82x + 34y = -12 Add '-34y' to each side of the equation. 82x + 34y + -34y = -12 + -34y Combine like terms: 34y + -34y = 0 82x + 0 = -12 + -34y 82x = -12 + -34y Divide each side by '82'. x = -0.1463414634 + -0.4146341463y Simplifying x = -0.1463414634 + -0.4146341463y
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