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Simplifying 0.7(0.1x + 0.7) = -0.07 Reorder the terms: 0.7(0.7 + 0.1x) = -0.07 (0.7 * 0.7 + 0.1x * 0.7) = -0.07 (0.49 + 0.07x) = -0.07 Solving 0.49 + 0.07x = -0.07 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.49' to each side of the equation. 0.49 + -0.49 + 0.07x = -0.07 + -0.49 Combine like terms: 0.49 + -0.49 = 0.00 0.00 + 0.07x = -0.07 + -0.49 0.07x = -0.07 + -0.49 Combine like terms: -0.07 + -0.49 = -0.56 0.07x = -0.56 Divide each side by '0.07'. x = -8 Simplifying x = -8
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