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Simplifying 2.5(x + 1.4y) + 2(1.4x + 1.2y) = 0 (x * 2.5 + 1.4y * 2.5) + 2(1.4x + 1.2y) = 0 (2.5x + 3.5y) + 2(1.4x + 1.2y) = 0 2.5x + 3.5y + (1.4x * 2 + 1.2y * 2) = 0 2.5x + 3.5y + (2.8x + 2.4y) = 0 Reorder the terms: 2.5x + 2.8x + 3.5y + 2.4y = 0 Combine like terms: 2.5x + 2.8x = 5.3x 5.3x + 3.5y + 2.4y = 0 Combine like terms: 3.5y + 2.4y = 5.9y 5.3x + 5.9y = 0 Solving 5.3x + 5.9y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5.9y' to each side of the equation. 5.3x + 5.9y + -5.9y = 0 + -5.9y Combine like terms: 5.9y + -5.9y = 0.0 5.3x + 0.0 = 0 + -5.9y 5.3x = 0 + -5.9y Remove the zero: 5.3x = -5.9y Divide each side by '5.3'. x = -1.113207547y Simplifying x = -1.113207547y
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