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Simplifying -4(-5x + -1y) + 6(2y + -2x) = 0 (-5x * -4 + -1y * -4) + 6(2y + -2x) = 0 (20x + 4y) + 6(2y + -2x) = 0 Reorder the terms: 20x + 4y + 6(-2x + 2y) = 0 20x + 4y + (-2x * 6 + 2y * 6) = 0 20x + 4y + (-12x + 12y) = 0 Reorder the terms: 20x + -12x + 4y + 12y = 0 Combine like terms: 20x + -12x = 8x 8x + 4y + 12y = 0 Combine like terms: 4y + 12y = 16y 8x + 16y = 0 Solving 8x + 16y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16y' to each side of the equation. 8x + 16y + -16y = 0 + -16y Combine like terms: 16y + -16y = 0 8x + 0 = 0 + -16y 8x = 0 + -16y Remove the zero: 8x = -16y Divide each side by '8'. x = -2y Simplifying x = -2y
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