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Simplifying 0.4x + -0.2(5 + -1x) = 0.5 0.4x + (5 * -0.2 + -1x * -0.2) = 0.5 0.4x + (-1 + 0.2x) = 0.5 Reorder the terms: -1 + 0.4x + 0.2x = 0.5 Combine like terms: 0.4x + 0.2x = 0.6x -1 + 0.6x = 0.5 Solving -1 + 0.6x = 0.5 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + 0.6x = 0.5 + 1 Combine like terms: -1 + 1 = 0 0 + 0.6x = 0.5 + 1 0.6x = 0.5 + 1 Combine like terms: 0.5 + 1 = 1.5 0.6x = 1.5 Divide each side by '0.6'. x = 2.5 Simplifying x = 2.5
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