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Simplifying 3(1.2x + 2.2y) + 2(3.2x + y) = 0 (1.2x * 3 + 2.2y * 3) + 2(3.2x + y) = 0 (3.6x + 6.6y) + 2(3.2x + y) = 0 3.6x + 6.6y + (3.2x * 2 + y * 2) = 0 3.6x + 6.6y + (6.4x + 2y) = 0 Reorder the terms: 3.6x + 6.4x + 6.6y + 2y = 0 Combine like terms: 3.6x + 6.4x = 10x 10x + 6.6y + 2y = 0 Combine like terms: 6.6y + 2y = 8.6y 10x + 8.6y = 0 Solving 10x + 8.6y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8.6y' to each side of the equation. 10x + 8.6y + -8.6y = 0 + -8.6y Combine like terms: 8.6y + -8.6y = 0.0 10x + 0.0 = 0 + -8.6y 10x = 0 + -8.6y Remove the zero: 10x = -8.6y Divide each side by '10'. x = -0.86y Simplifying x = -0.86y
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