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