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Simplifying 0.1(0.1x + 0.1) + -0.5 = 0 Reorder the terms: 0.1(0.1 + 0.1x) + -0.5 = 0 (0.1 * 0.1 + 0.1x * 0.1) + -0.5 = 0 (0.01 + 0.01x) + -0.5 = 0 Reorder the terms: 0.01 + -0.5 + 0.01x = 0 Combine like terms: 0.01 + -0.5 = -0.49 -0.49 + 0.01x = 0 Solving -0.49 + 0.01x = 0 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 + 0.01x = 0 + 0.49 Combine like terms: -0.49 + 0.49 = 0.00 0.00 + 0.01x = 0 + 0.49 0.01x = 0 + 0.49 Combine like terms: 0 + 0.49 = 0.49 0.01x = 0.49 Divide each side by '0.01'. x = 49 Simplifying x = 49
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