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Simplifying 100 = 0.01(100 + x) 100 = (100 * 0.01 + x * 0.01) 100 = (1 + 0.01x) Solving 100 = 1 + 0.01x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.01x' to each side of the equation. 100 + -0.01x = 1 + 0.01x + -0.01x Combine like terms: 0.01x + -0.01x = 0.00 100 + -0.01x = 1 + 0.00 100 + -0.01x = 1 Add '-100' to each side of the equation. 100 + -100 + -0.01x = 1 + -100 Combine like terms: 100 + -100 = 0 0 + -0.01x = 1 + -100 -0.01x = 1 + -100 Combine like terms: 1 + -100 = -99 -0.01x = -99 Divide each side by '-0.01'. x = 9900 Simplifying x = 9900
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