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Simplifying 12x + 3y + -1(4x + -2y) = 0 12x + 3y + (4x * -1 + -2y * -1) = 0 12x + 3y + (-4x + 2y) = 0 Reorder the terms: 12x + -4x + 3y + 2y = 0 Combine like terms: 12x + -4x = 8x 8x + 3y + 2y = 0 Combine like terms: 3y + 2y = 5y 8x + 5y = 0 Solving 8x + 5y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5y' to each side of the equation. 8x + 5y + -5y = 0 + -5y Combine like terms: 5y + -5y = 0 8x + 0 = 0 + -5y 8x = 0 + -5y Remove the zero: 8x = -5y Divide each side by '8'. x = -0.625y Simplifying x = -0.625y
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