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Simplifying 4590 = 4500(1 + 0.01x) 4590 = (1 * 4500 + 0.01x * 4500) 4590 = (4500 + 45x) Solving 4590 = 4500 + 45x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-45x' to each side of the equation. 4590 + -45x = 4500 + 45x + -45x Combine like terms: 45x + -45x = 0 4590 + -45x = 4500 + 0 4590 + -45x = 4500 Add '-4590' to each side of the equation. 4590 + -4590 + -45x = 4500 + -4590 Combine like terms: 4590 + -4590 = 0 0 + -45x = 4500 + -4590 -45x = 4500 + -4590 Combine like terms: 4500 + -4590 = -90 -45x = -90 Divide each side by '-45'. x = 2 Simplifying x = 2
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