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Simplifying 0.80x + 1 = 0.75x + 500 Reorder the terms: 1 + 0.80x = 0.75x + 500 Reorder the terms: 1 + 0.80x = 500 + 0.75x Solving 1 + 0.80x = 500 + 0.75x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.75x' to each side of the equation. 1 + 0.80x + -0.75x = 500 + 0.75x + -0.75x Combine like terms: 0.80x + -0.75x = 0.05x 1 + 0.05x = 500 + 0.75x + -0.75x Combine like terms: 0.75x + -0.75x = 0.00 1 + 0.05x = 500 + 0.00 1 + 0.05x = 500 Add '-1' to each side of the equation. 1 + -1 + 0.05x = 500 + -1 Combine like terms: 1 + -1 = 0 0 + 0.05x = 500 + -1 0.05x = 500 + -1 Combine like terms: 500 + -1 = 499 0.05x = 499 Divide each side by '0.05'. x = 9980 Simplifying x = 9980
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