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Simplifying 0.6(0.1x + 0.9) = -0.6 Reorder the terms: 0.6(0.9 + 0.1x) = -0.6 (0.9 * 0.6 + 0.1x * 0.6) = -0.6 (0.54 + 0.06x) = -0.6 Solving 0.54 + 0.06x = -0.6 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.54' to each side of the equation. 0.54 + -0.54 + 0.06x = -0.6 + -0.54 Combine like terms: 0.54 + -0.54 = 0.00 0.00 + 0.06x = -0.6 + -0.54 0.06x = -0.6 + -0.54 Combine like terms: -0.6 + -0.54 = -1.14 0.06x = -1.14 Divide each side by '0.06'. x = -19 Simplifying x = -19
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