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Simplifying 1.5(x + 2.4y) + 4(2.4x + 1.4y) = 0 (x * 1.5 + 2.4y * 1.5) + 4(2.4x + 1.4y) = 0 (1.5x + 3.6y) + 4(2.4x + 1.4y) = 0 1.5x + 3.6y + (2.4x * 4 + 1.4y * 4) = 0 1.5x + 3.6y + (9.6x + 5.6y) = 0 Reorder the terms: 1.5x + 9.6x + 3.6y + 5.6y = 0 Combine like terms: 1.5x + 9.6x = 11.1x 11.1x + 3.6y + 5.6y = 0 Combine like terms: 3.6y + 5.6y = 9.2y 11.1x + 9.2y = 0 Solving 11.1x + 9.2y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9.2y' to each side of the equation. 11.1x + 9.2y + -9.2y = 0 + -9.2y Combine like terms: 9.2y + -9.2y = 0.0 11.1x + 0.0 = 0 + -9.2y 11.1x = 0 + -9.2y Remove the zero: 11.1x = -9.2y Divide each side by '11.1'. x = -0.8288288288y Simplifying x = -0.8288288288y
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