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Simplifying 0.2(0.1x + 0.7) = -0.2 Reorder the terms: 0.2(0.7 + 0.1x) = -0.2 (0.7 * 0.2 + 0.1x * 0.2) = -0.2 (0.14 + 0.02x) = -0.2 Solving 0.14 + 0.02x = -0.2 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.14' to each side of the equation. 0.14 + -0.14 + 0.02x = -0.2 + -0.14 Combine like terms: 0.14 + -0.14 = 0.00 0.00 + 0.02x = -0.2 + -0.14 0.02x = -0.2 + -0.14 Combine like terms: -0.2 + -0.14 = -0.34 0.02x = -0.34 Divide each side by '0.02'. x = -17 Simplifying x = -17
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