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Simplifying 0.4x + -1.1(0.5 + -0.6x) = 0.4 0.4x + (0.5 * -1.1 + -0.6x * -1.1) = 0.4 0.4x + (-0.55 + 0.66x) = 0.4 Reorder the terms: -0.55 + 0.4x + 0.66x = 0.4 Combine like terms: 0.4x + 0.66x = 1.06x -0.55 + 1.06x = 0.4 Solving -0.55 + 1.06x = 0.4 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.55' to each side of the equation. -0.55 + 0.55 + 1.06x = 0.4 + 0.55 Combine like terms: -0.55 + 0.55 = 0.00 0.00 + 1.06x = 0.4 + 0.55 1.06x = 0.4 + 0.55 Combine like terms: 0.4 + 0.55 = 0.95 1.06x = 0.95 Divide each side by '1.06'. x = 0.8962264151 Simplifying x = 0.8962264151
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