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Simplifying 2.2(x + 1.5y) + 2(1.5x + 1.8y) = 0 (x * 2.2 + 1.5y * 2.2) + 2(1.5x + 1.8y) = 0 (2.2x + 3.3y) + 2(1.5x + 1.8y) = 0 2.2x + 3.3y + (1.5x * 2 + 1.8y * 2) = 0 2.2x + 3.3y + (3x + 3.6y) = 0 Reorder the terms: 2.2x + 3x + 3.3y + 3.6y = 0 Combine like terms: 2.2x + 3x = 5.2x 5.2x + 3.3y + 3.6y = 0 Combine like terms: 3.3y + 3.6y = 6.9y 5.2x + 6.9y = 0 Solving 5.2x + 6.9y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6.9y' to each side of the equation. 5.2x + 6.9y + -6.9y = 0 + -6.9y Combine like terms: 6.9y + -6.9y = 0.0 5.2x + 0.0 = 0 + -6.9y 5.2x = 0 + -6.9y Remove the zero: 5.2x = -6.9y Divide each side by '5.2'. x = -1.326923077y Simplifying x = -1.326923077y
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