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Simplifying 12(x + -1y) + 2(2x + -6y) = 0 (x * 12 + -1y * 12) + 2(2x + -6y) = 0 (12x + -12y) + 2(2x + -6y) = 0 12x + -12y + (2x * 2 + -6y * 2) = 0 12x + -12y + (4x + -12y) = 0 Reorder the terms: 12x + 4x + -12y + -12y = 0 Combine like terms: 12x + 4x = 16x 16x + -12y + -12y = 0 Combine like terms: -12y + -12y = -24y 16x + -24y = 0 Solving 16x + -24y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '24y' to each side of the equation. 16x + -24y + 24y = 0 + 24y Combine like terms: -24y + 24y = 0 16x + 0 = 0 + 24y 16x = 0 + 24y Remove the zero: 16x = 24y Divide each side by '16'. x = 1.5y Simplifying x = 1.5y
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