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Simplifying 400 + 0.20x = 500 + 0.15x Solving 400 + 0.20x = 500 + 0.15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.15x' to each side of the equation. 400 + 0.20x + -0.15x = 500 + 0.15x + -0.15x Combine like terms: 0.20x + -0.15x = 0.05x 400 + 0.05x = 500 + 0.15x + -0.15x Combine like terms: 0.15x + -0.15x = 0.00 400 + 0.05x = 500 + 0.00 400 + 0.05x = 500 Add '-400' to each side of the equation. 400 + -400 + 0.05x = 500 + -400 Combine like terms: 400 + -400 = 0 0 + 0.05x = 500 + -400 0.05x = 500 + -400 Combine like terms: 500 + -400 = 100 0.05x = 100 Divide each side by '0.05'. x = 2000 Simplifying x = 2000
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