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Simplifying 12x + -5y + -2(2x + -3y) = 0 12x + -5y + (2x * -2 + -3y * -2) = 0 12x + -5y + (-4x + 6y) = 0 Reorder the terms: 12x + -4x + -5y + 6y = 0 Combine like terms: 12x + -4x = 8x 8x + -5y + 6y = 0 Combine like terms: -5y + 6y = 1y 8x + 1y = 0 Solving 8x + 1y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1y' to each side of the equation. 8x + 1y + -1y = 0 + -1y Combine like terms: 1y + -1y = 0 8x + 0 = 0 + -1y 8x = 0 + -1y Remove the zero: 8x = -1y Divide each side by '8'. x = -0.125y Simplifying x = -0.125y
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