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Simplifying 3.5(x + 1.4y) + 4(1.4x + 1.3y) = 0 (x * 3.5 + 1.4y * 3.5) + 4(1.4x + 1.3y) = 0 (3.5x + 4.9y) + 4(1.4x + 1.3y) = 0 3.5x + 4.9y + (1.4x * 4 + 1.3y * 4) = 0 3.5x + 4.9y + (5.6x + 5.2y) = 0 Reorder the terms: 3.5x + 5.6x + 4.9y + 5.2y = 0 Combine like terms: 3.5x + 5.6x = 9.1x 9.1x + 4.9y + 5.2y = 0 Combine like terms: 4.9y + 5.2y = 10.1y 9.1x + 10.1y = 0 Solving 9.1x + 10.1y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10.1y' to each side of the equation. 9.1x + 10.1y + -10.1y = 0 + -10.1y Combine like terms: 10.1y + -10.1y = 0.0 9.1x + 0.0 = 0 + -10.1y 9.1x = 0 + -10.1y Remove the zero: 9.1x = -10.1y Divide each side by '9.1'. x = -1.10989011y Simplifying x = -1.10989011y
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