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Simplifying 0.1x = 0.5(1 + -0.2x) 0.1x = (1 * 0.5 + -0.2x * 0.5) 0.1x = (0.5 + -0.1x) Solving 0.1x = 0.5 + -0.1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.1x' to each side of the equation. 0.1x + 0.1x = 0.5 + -0.1x + 0.1x Combine like terms: 0.1x + 0.1x = 0.2x 0.2x = 0.5 + -0.1x + 0.1x Combine like terms: -0.1x + 0.1x = 0.0 0.2x = 0.5 + 0.0 0.2x = 0.5 Divide each side by '0.2'. x = 2.5 Simplifying x = 2.5
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