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Simplifying 3.5(x + 2.4y) + 2(2.4x + 1.5y) = 0 (x * 3.5 + 2.4y * 3.5) + 2(2.4x + 1.5y) = 0 (3.5x + 8.4y) + 2(2.4x + 1.5y) = 0 3.5x + 8.4y + (2.4x * 2 + 1.5y * 2) = 0 3.5x + 8.4y + (4.8x + 3y) = 0 Reorder the terms: 3.5x + 4.8x + 8.4y + 3y = 0 Combine like terms: 3.5x + 4.8x = 8.3x 8.3x + 8.4y + 3y = 0 Combine like terms: 8.4y + 3y = 11.4y 8.3x + 11.4y = 0 Solving 8.3x + 11.4y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11.4y' to each side of the equation. 8.3x + 11.4y + -11.4y = 0 + -11.4y Combine like terms: 11.4y + -11.4y = 0.0 8.3x + 0.0 = 0 + -11.4y 8.3x = 0 + -11.4y Remove the zero: 8.3x = -11.4y Divide each side by '8.3'. x = -1.373493976y Simplifying x = -1.373493976y
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