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Simplifying 100 + x = 0.05(100 + x) 100 + x = (100 * 0.05 + x * 0.05) 100 + x = (5 + 0.05x) Solving 100 + 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. 100 + x + -0.05x = 5 + 0.05x + -0.05x Combine like terms: x + -0.05x = 0.95x 100 + 0.95x = 5 + 0.05x + -0.05x Combine like terms: 0.05x + -0.05x = 0.00 100 + 0.95x = 5 + 0.00 100 + 0.95x = 5 Add '-100' to each side of the equation. 100 + -100 + 0.95x = 5 + -100 Combine like terms: 100 + -100 = 0 0 + 0.95x = 5 + -100 0.95x = 5 + -100 Combine like terms: 5 + -100 = -95 0.95x = -95 Divide each side by '0.95'. x = -100 Simplifying x = -100
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