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Simplifying 500 = 100(2 + x) 500 = (2 * 100 + x * 100) 500 = (200 + 100x) Solving 500 = 200 + 100x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-100x' to each side of the equation. 500 + -100x = 200 + 100x + -100x Combine like terms: 100x + -100x = 0 500 + -100x = 200 + 0 500 + -100x = 200 Add '-500' to each side of the equation. 500 + -500 + -100x = 200 + -500 Combine like terms: 500 + -500 = 0 0 + -100x = 200 + -500 -100x = 200 + -500 Combine like terms: 200 + -500 = -300 -100x = -300 Divide each side by '-100'. x = 3 Simplifying x = 3
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