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Simplifying 1.2(x + 1.5y) + 2(1.5x + 1.4y) = 0 (x * 1.2 + 1.5y * 1.2) + 2(1.5x + 1.4y) = 0 (1.2x + 1.8y) + 2(1.5x + 1.4y) = 0 1.2x + 1.8y + (1.5x * 2 + 1.4y * 2) = 0 1.2x + 1.8y + (3x + 2.8y) = 0 Reorder the terms: 1.2x + 3x + 1.8y + 2.8y = 0 Combine like terms: 1.2x + 3x = 4.2x 4.2x + 1.8y + 2.8y = 0 Combine like terms: 1.8y + 2.8y = 4.6y 4.2x + 4.6y = 0 Solving 4.2x + 4.6y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4.6y' to each side of the equation. 4.2x + 4.6y + -4.6y = 0 + -4.6y Combine like terms: 4.6y + -4.6y = 0.0 4.2x + 0.0 = 0 + -4.6y 4.2x = 0 + -4.6y Remove the zero: 4.2x = -4.6y Divide each side by '4.2'. x = -1.095238095y Simplifying x = -1.095238095y
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