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Simplifying -3(3x + 8y) + 4(5x + -2y) = 0 (3x * -3 + 8y * -3) + 4(5x + -2y) = 0 (-9x + -24y) + 4(5x + -2y) = 0 -9x + -24y + (5x * 4 + -2y * 4) = 0 -9x + -24y + (20x + -8y) = 0 Reorder the terms: -9x + 20x + -24y + -8y = 0 Combine like terms: -9x + 20x = 11x 11x + -24y + -8y = 0 Combine like terms: -24y + -8y = -32y 11x + -32y = 0 Solving 11x + -32y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '32y' to each side of the equation. 11x + -32y + 32y = 0 + 32y Combine like terms: -32y + 32y = 0 11x + 0 = 0 + 32y 11x = 0 + 32y Remove the zero: 11x = 32y Divide each side by '11'. x = 2.909090909y Simplifying x = 2.909090909y
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