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Simplifying 6(4x + 3y) + -2(5x + -4y) = 0 (4x * 6 + 3y * 6) + -2(5x + -4y) = 0 (24x + 18y) + -2(5x + -4y) = 0 24x + 18y + (5x * -2 + -4y * -2) = 0 24x + 18y + (-10x + 8y) = 0 Reorder the terms: 24x + -10x + 18y + 8y = 0 Combine like terms: 24x + -10x = 14x 14x + 18y + 8y = 0 Combine like terms: 18y + 8y = 26y 14x + 26y = 0 Solving 14x + 26y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-26y' to each side of the equation. 14x + 26y + -26y = 0 + -26y Combine like terms: 26y + -26y = 0 14x + 0 = 0 + -26y 14x = 0 + -26y Remove the zero: 14x = -26y Divide each side by '14'. x = -1.857142857y Simplifying x = -1.857142857y
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