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Simplifying 0.2(5000) + 0.3x = 0.25(5000 + x) Multiply 0.2 * 5000 1000 + 0.3x = 0.25(5000 + x) 1000 + 0.3x = (5000 * 0.25 + x * 0.25) 1000 + 0.3x = (1250 + 0.25x) Solving 1000 + 0.3x = 1250 + 0.25x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.25x' to each side of the equation. 1000 + 0.3x + -0.25x = 1250 + 0.25x + -0.25x Combine like terms: 0.3x + -0.25x = 0.05x 1000 + 0.05x = 1250 + 0.25x + -0.25x Combine like terms: 0.25x + -0.25x = 0.00 1000 + 0.05x = 1250 + 0.00 1000 + 0.05x = 1250 Add '-1000' to each side of the equation. 1000 + -1000 + 0.05x = 1250 + -1000 Combine like terms: 1000 + -1000 = 0 0 + 0.05x = 1250 + -1000 0.05x = 1250 + -1000 Combine like terms: 1250 + -1000 = 250 0.05x = 250 Divide each side by '0.05'. x = 5000 Simplifying x = 5000
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