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Simplifying 2.6(x + 1.5y) + 4(1.5x + 1.3y) = 0 (x * 2.6 + 1.5y * 2.6) + 4(1.5x + 1.3y) = 0 (2.6x + 3.9y) + 4(1.5x + 1.3y) = 0 2.6x + 3.9y + (1.5x * 4 + 1.3y * 4) = 0 2.6x + 3.9y + (6x + 5.2y) = 0 Reorder the terms: 2.6x + 6x + 3.9y + 5.2y = 0 Combine like terms: 2.6x + 6x = 8.6x 8.6x + 3.9y + 5.2y = 0 Combine like terms: 3.9y + 5.2y = 9.1y 8.6x + 9.1y = 0 Solving 8.6x + 9.1y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9.1y' to each side of the equation. 8.6x + 9.1y + -9.1y = 0 + -9.1y Combine like terms: 9.1y + -9.1y = 0.0 8.6x + 0.0 = 0 + -9.1y 8.6x = 0 + -9.1y Remove the zero: 8.6x = -9.1y Divide each side by '8.6'. x = -1.058139535y Simplifying x = -1.058139535y
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