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Simplifying 0.1(0.1x + 0.9) = -0.2 Reorder the terms: 0.1(0.9 + 0.1x) = -0.2 (0.9 * 0.1 + 0.1x * 0.1) = -0.2 (0.09 + 0.01x) = -0.2 Solving 0.09 + 0.01x = -0.2 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.09' to each side of the equation. 0.09 + -0.09 + 0.01x = -0.2 + -0.09 Combine like terms: 0.09 + -0.09 = 0.00 0.00 + 0.01x = -0.2 + -0.09 0.01x = -0.2 + -0.09 Combine like terms: -0.2 + -0.09 = -0.29 0.01x = -0.29 Divide each side by '0.01'. x = -29 Simplifying x = -29
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