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Simplifying [12 + -4(x + -2y)] + 6(5x + y) = 0 [12 + (x * -4 + -2y * -4)] + 6(5x + y) = 0 [12 + (-4x + 8y)] + 6(5x + y) = 0 Remove brackets around [12 + -4x + 8y] 12 + -4x + 8y + 6(5x + y) = 0 12 + -4x + 8y + (5x * 6 + y * 6) = 0 12 + -4x + 8y + (30x + 6y) = 0 Reorder the terms: 12 + -4x + 30x + 8y + 6y = 0 Combine like terms: -4x + 30x = 26x 12 + 26x + 8y + 6y = 0 Combine like terms: 8y + 6y = 14y 12 + 26x + 14y = 0 Solving 12 + 26x + 14y = 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 + 26x + -12 + 14y = 0 + -12 Reorder the terms: 12 + -12 + 26x + 14y = 0 + -12 Combine like terms: 12 + -12 = 0 0 + 26x + 14y = 0 + -12 26x + 14y = 0 + -12 Combine like terms: 0 + -12 = -12 26x + 14y = -12 Add '-14y' to each side of the equation. 26x + 14y + -14y = -12 + -14y Combine like terms: 14y + -14y = 0 26x + 0 = -12 + -14y 26x = -12 + -14y Divide each side by '26'. x = -0.4615384615 + -0.5384615385y Simplifying x = -0.4615384615 + -0.5384615385y
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