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Simplifying 0.4(0.1x + 0.1) = -0.4 Reorder the terms: 0.4(0.1 + 0.1x) = -0.4 (0.1 * 0.4 + 0.1x * 0.4) = -0.4 (0.04 + 0.04x) = -0.4 Solving 0.04 + 0.04x = -0.4 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.04' to each side of the equation. 0.04 + -0.04 + 0.04x = -0.4 + -0.04 Combine like terms: 0.04 + -0.04 = 0.00 0.00 + 0.04x = -0.4 + -0.04 0.04x = -0.4 + -0.04 Combine like terms: -0.4 + -0.04 = -0.44 0.04x = -0.44 Divide each side by '0.04'. x = -11 Simplifying x = -11
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