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Simplifying 2.4(x + 3.5y) + 2(1.4x + 1.9y) = 0 (x * 2.4 + 3.5y * 2.4) + 2(1.4x + 1.9y) = 0 (2.4x + 8.4y) + 2(1.4x + 1.9y) = 0 2.4x + 8.4y + (1.4x * 2 + 1.9y * 2) = 0 2.4x + 8.4y + (2.8x + 3.8y) = 0 Reorder the terms: 2.4x + 2.8x + 8.4y + 3.8y = 0 Combine like terms: 2.4x + 2.8x = 5.2x 5.2x + 8.4y + 3.8y = 0 Combine like terms: 8.4y + 3.8y = 12.2y 5.2x + 12.2y = 0 Solving 5.2x + 12.2y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12.2y' to each side of the equation. 5.2x + 12.2y + -12.2y = 0 + -12.2y Combine like terms: 12.2y + -12.2y = 0.0 5.2x + 0.0 = 0 + -12.2y 5.2x = 0 + -12.2y Remove the zero: 5.2x = -12.2y Divide each side by '5.2'. x = -2.346153846y Simplifying x = -2.346153846y
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