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Simplifying 4(-5x + 6y) + 3(2x + 10y) = 0 (-5x * 4 + 6y * 4) + 3(2x + 10y) = 0 (-20x + 24y) + 3(2x + 10y) = 0 -20x + 24y + (2x * 3 + 10y * 3) = 0 -20x + 24y + (6x + 30y) = 0 Reorder the terms: -20x + 6x + 24y + 30y = 0 Combine like terms: -20x + 6x = -14x -14x + 24y + 30y = 0 Combine like terms: 24y + 30y = 54y -14x + 54y = 0 Solving -14x + 54y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-54y' to each side of the equation. -14x + 54y + -54y = 0 + -54y Combine like terms: 54y + -54y = 0 -14x + 0 = 0 + -54y -14x = 0 + -54y Remove the zero: -14x = -54y Divide each side by '-14'. x = 3.857142857y Simplifying x = 3.857142857y
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