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Simplifying 6x + 8y + -4(5x + -4y) = 0 6x + 8y + (5x * -4 + -4y * -4) = 0 6x + 8y + (-20x + 16y) = 0 Reorder the terms: 6x + -20x + 8y + 16y = 0 Combine like terms: 6x + -20x = -14x -14x + 8y + 16y = 0 Combine like terms: 8y + 16y = 24y -14x + 24y = 0 Solving -14x + 24y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24y' to each side of the equation. -14x + 24y + -24y = 0 + -24y Combine like terms: 24y + -24y = 0 -14x + 0 = 0 + -24y -14x = 0 + -24y Remove the zero: -14x = -24y Divide each side by '-14'. x = 1.714285714y Simplifying x = 1.714285714y
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