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Simplifying 2.4(x + 3.5y) + 4(3.5x + 1.3y) = 0 (x * 2.4 + 3.5y * 2.4) + 4(3.5x + 1.3y) = 0 (2.4x + 8.4y) + 4(3.5x + 1.3y) = 0 2.4x + 8.4y + (3.5x * 4 + 1.3y * 4) = 0 2.4x + 8.4y + (14x + 5.2y) = 0 Reorder the terms: 2.4x + 14x + 8.4y + 5.2y = 0 Combine like terms: 2.4x + 14x = 16.4x 16.4x + 8.4y + 5.2y = 0 Combine like terms: 8.4y + 5.2y = 13.6y 16.4x + 13.6y = 0 Solving 16.4x + 13.6y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-13.6y' to each side of the equation. 16.4x + 13.6y + -13.6y = 0 + -13.6y Combine like terms: 13.6y + -13.6y = 0.0 16.4x + 0.0 = 0 + -13.6y 16.4x = 0 + -13.6y Remove the zero: 16.4x = -13.6y Divide each side by '16.4'. x = -0.8292682927y Simplifying x = -0.8292682927y
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