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Simplifying 0.4(0.1x + 0.3) = -0.4 Reorder the terms: 0.4(0.3 + 0.1x) = -0.4 (0.3 * 0.4 + 0.1x * 0.4) = -0.4 (0.12 + 0.04x) = -0.4 Solving 0.12 + 0.04x = -0.4 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.12' to each side of the equation. 0.12 + -0.12 + 0.04x = -0.4 + -0.12 Combine like terms: 0.12 + -0.12 = 0.00 0.00 + 0.04x = -0.4 + -0.12 0.04x = -0.4 + -0.12 Combine like terms: -0.4 + -0.12 = -0.52 0.04x = -0.52 Divide each side by '0.04'. x = -13 Simplifying x = -13
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