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Simplifying 3.5(x + 2.2y) + 2(2.2x + 1.7y) = 0 (x * 3.5 + 2.2y * 3.5) + 2(2.2x + 1.7y) = 0 (3.5x + 7.7y) + 2(2.2x + 1.7y) = 0 3.5x + 7.7y + (2.2x * 2 + 1.7y * 2) = 0 3.5x + 7.7y + (4.4x + 3.4y) = 0 Reorder the terms: 3.5x + 4.4x + 7.7y + 3.4y = 0 Combine like terms: 3.5x + 4.4x = 7.9x 7.9x + 7.7y + 3.4y = 0 Combine like terms: 7.7y + 3.4y = 11.1y 7.9x + 11.1y = 0 Solving 7.9x + 11.1y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11.1y' to each side of the equation. 7.9x + 11.1y + -11.1y = 0 + -11.1y Combine like terms: 11.1y + -11.1y = 0.0 7.9x + 0.0 = 0 + -11.1y 7.9x = 0 + -11.1y Remove the zero: 7.9x = -11.1y Divide each side by '7.9'. x = -1.405063291y Simplifying x = -1.405063291y
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