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Simplifying 0.5x + -2(0.2x + -0.1) = 0.8 Reorder the terms: 0.5x + -2(-0.1 + 0.2x) = 0.8 0.5x + (-0.1 * -2 + 0.2x * -2) = 0.8 0.5x + (0.2 + -0.4x) = 0.8 Reorder the terms: 0.2 + 0.5x + -0.4x = 0.8 Combine like terms: 0.5x + -0.4x = 0.1x 0.2 + 0.1x = 0.8 Solving 0.2 + 0.1x = 0.8 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.2' to each side of the equation. 0.2 + -0.2 + 0.1x = 0.8 + -0.2 Combine like terms: 0.2 + -0.2 = 0.0 0.0 + 0.1x = 0.8 + -0.2 0.1x = 0.8 + -0.2 Combine like terms: 0.8 + -0.2 = 0.6 0.1x = 0.6 Divide each side by '0.1'. x = 6 Simplifying x = 6
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