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Simplifying 3.5(x + 2.6y) + 4(2.6x + 1.3y) = 0 (x * 3.5 + 2.6y * 3.5) + 4(2.6x + 1.3y) = 0 (3.5x + 9.1y) + 4(2.6x + 1.3y) = 0 3.5x + 9.1y + (2.6x * 4 + 1.3y * 4) = 0 3.5x + 9.1y + (10.4x + 5.2y) = 0 Reorder the terms: 3.5x + 10.4x + 9.1y + 5.2y = 0 Combine like terms: 3.5x + 10.4x = 13.9x 13.9x + 9.1y + 5.2y = 0 Combine like terms: 9.1y + 5.2y = 14.3y 13.9x + 14.3y = 0 Solving 13.9x + 14.3y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14.3y' to each side of the equation. 13.9x + 14.3y + -14.3y = 0 + -14.3y Combine like terms: 14.3y + -14.3y = 0.0 13.9x + 0.0 = 0 + -14.3y 13.9x = 0 + -14.3y Remove the zero: 13.9x = -14.3y Divide each side by '13.9'. x = -1.028776978y Simplifying x = -1.028776978y
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