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Simplifying 0.1(0.1x + 0.1) = -0.7 Reorder the terms: 0.1(0.1 + 0.1x) = -0.7 (0.1 * 0.1 + 0.1x * 0.1) = -0.7 (0.01 + 0.01x) = -0.7 Solving 0.01 + 0.01x = -0.7 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.01' to each side of the equation. 0.01 + -0.01 + 0.01x = -0.7 + -0.01 Combine like terms: 0.01 + -0.01 = 0.00 0.00 + 0.01x = -0.7 + -0.01 0.01x = -0.7 + -0.01 Combine like terms: -0.7 + -0.01 = -0.71 0.01x = -0.71 Divide each side by '0.01'. x = -71 Simplifying x = -71
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