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Simplifying 0.4(0.1x + 0.7) = -0.4 Reorder the terms: 0.4(0.7 + 0.1x) = -0.4 (0.7 * 0.4 + 0.1x * 0.4) = -0.4 (0.28 + 0.04x) = -0.4 Solving 0.28 + 0.04x = -0.4 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.28' to each side of the equation. 0.28 + -0.28 + 0.04x = -0.4 + -0.28 Combine like terms: 0.28 + -0.28 = 0.00 0.00 + 0.04x = -0.4 + -0.28 0.04x = -0.4 + -0.28 Combine like terms: -0.4 + -0.28 = -0.68 0.04x = -0.68 Divide each side by '0.04'. x = -17 Simplifying x = -17
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