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Simplifying 0.1x = 0.2(x + -2) Reorder the terms: 0.1x = 0.2(-2 + x) 0.1x = (-2 * 0.2 + x * 0.2) 0.1x = (-0.4 + 0.2x) Solving 0.1x = -0.4 + 0.2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.2x' to each side of the equation. 0.1x + -0.2x = -0.4 + 0.2x + -0.2x Combine like terms: 0.1x + -0.2x = -0.1x -0.1x = -0.4 + 0.2x + -0.2x Combine like terms: 0.2x + -0.2x = 0.0 -0.1x = -0.4 + 0.0 -0.1x = -0.4 Divide each side by '-0.1'. x = 4 Simplifying x = 4
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