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Simplifying 3.5(x + 2.6y) + 3(2.6x + 1.5y) = 0 (x * 3.5 + 2.6y * 3.5) + 3(2.6x + 1.5y) = 0 (3.5x + 9.1y) + 3(2.6x + 1.5y) = 0 3.5x + 9.1y + (2.6x * 3 + 1.5y * 3) = 0 3.5x + 9.1y + (7.8x + 4.5y) = 0 Reorder the terms: 3.5x + 7.8x + 9.1y + 4.5y = 0 Combine like terms: 3.5x + 7.8x = 11.3x 11.3x + 9.1y + 4.5y = 0 Combine like terms: 9.1y + 4.5y = 13.6y 11.3x + 13.6y = 0 Solving 11.3x + 13.6y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-13.6y' to each side of the equation. 11.3x + 13.6y + -13.6y = 0 + -13.6y Combine like terms: 13.6y + -13.6y = 0.0 11.3x + 0.0 = 0 + -13.6y 11.3x = 0 + -13.6y Remove the zero: 11.3x = -13.6y Divide each side by '11.3'. x = -1.203539823y Simplifying x = -1.203539823y
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