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Simplifying 1.5(x + 2.2y) + 4(2.2x + 1.6y) = 0 (x * 1.5 + 2.2y * 1.5) + 4(2.2x + 1.6y) = 0 (1.5x + 3.3y) + 4(2.2x + 1.6y) = 0 1.5x + 3.3y + (2.2x * 4 + 1.6y * 4) = 0 1.5x + 3.3y + (8.8x + 6.4y) = 0 Reorder the terms: 1.5x + 8.8x + 3.3y + 6.4y = 0 Combine like terms: 1.5x + 8.8x = 10.3x 10.3x + 3.3y + 6.4y = 0 Combine like terms: 3.3y + 6.4y = 9.7y 10.3x + 9.7y = 0 Solving 10.3x + 9.7y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9.7y' to each side of the equation. 10.3x + 9.7y + -9.7y = 0 + -9.7y Combine like terms: 9.7y + -9.7y = 0.0 10.3x + 0.0 = 0 + -9.7y 10.3x = 0 + -9.7y Remove the zero: 10.3x = -9.7y Divide each side by '10.3'. x = -0.9417475728y Simplifying x = -0.9417475728y
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