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Simplifying -4(5x + -6y) + -1(4x + -9y) = 0 (5x * -4 + -6y * -4) + -1(4x + -9y) = 0 (-20x + 24y) + -1(4x + -9y) = 0 -20x + 24y + (4x * -1 + -9y * -1) = 0 -20x + 24y + (-4x + 9y) = 0 Reorder the terms: -20x + -4x + 24y + 9y = 0 Combine like terms: -20x + -4x = -24x -24x + 24y + 9y = 0 Combine like terms: 24y + 9y = 33y -24x + 33y = 0 Solving -24x + 33y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-33y' to each side of the equation. -24x + 33y + -33y = 0 + -33y Combine like terms: 33y + -33y = 0 -24x + 0 = 0 + -33y -24x = 0 + -33y Remove the zero: -24x = -33y Divide each side by '-24'. x = 1.375y Simplifying x = 1.375y
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