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Simplifying 100 = 0.1(100 + x) 100 = (100 * 0.1 + x * 0.1) 100 = (10 + 0.1x) Solving 100 = 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. 100 + -0.1x = 10 + 0.1x + -0.1x Combine like terms: 0.1x + -0.1x = 0.0 100 + -0.1x = 10 + 0.0 100 + -0.1x = 10 Add '-100' to each side of the equation. 100 + -100 + -0.1x = 10 + -100 Combine like terms: 100 + -100 = 0 0 + -0.1x = 10 + -100 -0.1x = 10 + -100 Combine like terms: 10 + -100 = -90 -0.1x = -90 Divide each side by '-0.1'. x = 900 Simplifying x = 900
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