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Simplifying 4(5x + -2y) + 6x + -1(2x + -4y) = 0 (5x * 4 + -2y * 4) + 6x + -1(2x + -4y) = 0 (20x + -8y) + 6x + -1(2x + -4y) = 0 20x + -8y + 6x + (2x * -1 + -4y * -1) = 0 20x + -8y + 6x + (-2x + 4y) = 0 Reorder the terms: 20x + 6x + -2x + -8y + 4y = 0 Combine like terms: 20x + 6x = 26x 26x + -2x + -8y + 4y = 0 Combine like terms: 26x + -2x = 24x 24x + -8y + 4y = 0 Combine like terms: -8y + 4y = -4y 24x + -4y = 0 Solving 24x + -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. 24x + -4y + 4y = 0 + 4y Combine like terms: -4y + 4y = 0 24x + 0 = 0 + 4y 24x = 0 + 4y Remove the zero: 24x = 4y Divide each side by '24'. x = 0.1666666667y Simplifying x = 0.1666666667y
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