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Simplifying x = 0.1(100 + x) x = (100 * 0.1 + x * 0.1) x = (10 + 0.1x) Solving x = 10 + 0.1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.1x' to each side of the equation. x + -0.1x = 10 + 0.1x + -0.1x Combine like terms: x + -0.1x = 0.9x 0.9x = 10 + 0.1x + -0.1x Combine like terms: 0.1x + -0.1x = 0.0 0.9x = 10 + 0.0 0.9x = 10 Divide each side by '0.9'. x = 11.11111111 Simplifying x = 11.11111111
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