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Simplifying 0.2(x + 2) = 0.1x Reorder the terms: 0.2(2 + x) = 0.1x (2 * 0.2 + x * 0.2) = 0.1x (0.4 + 0.2x) = 0.1x Solving 0.4 + 0.2x = 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. 0.4 + 0.2x + -0.1x = 0.1x + -0.1x Combine like terms: 0.2x + -0.1x = 0.1x 0.4 + 0.1x = 0.1x + -0.1x Combine like terms: 0.1x + -0.1x = 0.0 0.4 + 0.1x = 0.0 Add '-0.4' to each side of the equation. 0.4 + -0.4 + 0.1x = 0.0 + -0.4 Combine like terms: 0.4 + -0.4 = 0.0 0.0 + 0.1x = 0.0 + -0.4 0.1x = 0.0 + -0.4 Combine like terms: 0.0 + -0.4 = -0.4 0.1x = -0.4 Divide each side by '0.1'. x = -4 Simplifying x = -4
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