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Simplifying 4(3x + -1y) + -2(2y + -5x) = 0 (3x * 4 + -1y * 4) + -2(2y + -5x) = 0 (12x + -4y) + -2(2y + -5x) = 0 Reorder the terms: 12x + -4y + -2(-5x + 2y) = 0 12x + -4y + (-5x * -2 + 2y * -2) = 0 12x + -4y + (10x + -4y) = 0 Reorder the terms: 12x + 10x + -4y + -4y = 0 Combine like terms: 12x + 10x = 22x 22x + -4y + -4y = 0 Combine like terms: -4y + -4y = -8y 22x + -8y = 0 Solving 22x + -8y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8y' to each side of the equation. 22x + -8y + 8y = 0 + 8y Combine like terms: -8y + 8y = 0 22x + 0 = 0 + 8y 22x = 0 + 8y Remove the zero: 22x = 8y Divide each side by '22'. x = 0.3636363636y Simplifying x = 0.3636363636y
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