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Simplifying 2.6(x + 2.5y) + 4(2.5x + 1.7y) = 0 (x * 2.6 + 2.5y * 2.6) + 4(2.5x + 1.7y) = 0 (2.6x + 6.5y) + 4(2.5x + 1.7y) = 0 2.6x + 6.5y + (2.5x * 4 + 1.7y * 4) = 0 2.6x + 6.5y + (10x + 6.8y) = 0 Reorder the terms: 2.6x + 10x + 6.5y + 6.8y = 0 Combine like terms: 2.6x + 10x = 12.6x 12.6x + 6.5y + 6.8y = 0 Combine like terms: 6.5y + 6.8y = 13.3y 12.6x + 13.3y = 0 Solving 12.6x + 13.3y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-13.3y' to each side of the equation. 12.6x + 13.3y + -13.3y = 0 + -13.3y Combine like terms: 13.3y + -13.3y = 0.0 12.6x + 0.0 = 0 + -13.3y 12.6x = 0 + -13.3y Remove the zero: 12.6x = -13.3y Divide each side by '12.6'. x = -1.055555556y Simplifying x = -1.055555556y
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