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Simplifying 4(3x + -2y) + -1(4x + -9y) = 0 (3x * 4 + -2y * 4) + -1(4x + -9y) = 0 (12x + -8y) + -1(4x + -9y) = 0 12x + -8y + (4x * -1 + -9y * -1) = 0 12x + -8y + (-4x + 9y) = 0 Reorder the terms: 12x + -4x + -8y + 9y = 0 Combine like terms: 12x + -4x = 8x 8x + -8y + 9y = 0 Combine like terms: -8y + 9y = 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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