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Simplifying 0.02(5000) + 0.3x = 0.25(5000 + x) Multiply 0.02 * 5000 100 + 0.3x = 0.25(5000 + x) 100 + 0.3x = (5000 * 0.25 + x * 0.25) 100 + 0.3x = (1250 + 0.25x) Solving 100 + 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. 100 + 0.3x + -0.25x = 1250 + 0.25x + -0.25x Combine like terms: 0.3x + -0.25x = 0.05x 100 + 0.05x = 1250 + 0.25x + -0.25x Combine like terms: 0.25x + -0.25x = 0.00 100 + 0.05x = 1250 + 0.00 100 + 0.05x = 1250 Add '-100' to each side of the equation. 100 + -100 + 0.05x = 1250 + -100 Combine like terms: 100 + -100 = 0 0 + 0.05x = 1250 + -100 0.05x = 1250 + -100 Combine like terms: 1250 + -100 = 1150 0.05x = 1150 Divide each side by '0.05'. x = 23000 Simplifying x = 23000
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