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Simplifying X = 0.05[100 + -1X] X = [100 * 0.05 + -1X * 0.05] X = [5 + -0.05X] Solving X = 5 + -0.05X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '0.05X' to each side of the equation. X + 0.05X = 5 + -0.05X + 0.05X Combine like terms: X + 0.05X = 1.05X 1.05X = 5 + -0.05X + 0.05X Combine like terms: -0.05X + 0.05X = 0.00 1.05X = 5 + 0.00 1.05X = 5 Divide each side by '1.05'. X = 4.761904762 Simplifying X = 4.761904762
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