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Simplifying 0.5(4x + -2y) + 3(-1y + -2x) = 0 (4x * 0.5 + -2y * 0.5) + 3(-1y + -2x) = 0 (2x + -1y) + 3(-1y + -2x) = 0 Reorder the terms: 2x + -1y + 3(-2x + -1y) = 0 2x + -1y + (-2x * 3 + -1y * 3) = 0 2x + -1y + (-6x + -3y) = 0 Reorder the terms: 2x + -6x + -1y + -3y = 0 Combine like terms: 2x + -6x = -4x -4x + -1y + -3y = 0 Combine like terms: -1y + -3y = -4y -4x + -4y = 0 Solving -4x + -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. -4x + -4y + 4y = 0 + 4y Combine like terms: -4y + 4y = 0 -4x + 0 = 0 + 4y -4x = 0 + 4y Remove the zero: -4x = 4y Divide each side by '-4'. x = -1y Simplifying x = -1y
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