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Simplifying 0.05x + 0.40(20) = 0.25(x + 20) Multiply 0.40 * 20 0.05x + 8 = 0.25(x + 20) Reorder the terms: 8 + 0.05x = 0.25(x + 20) Reorder the terms: 8 + 0.05x = 0.25(20 + x) 8 + 0.05x = (20 * 0.25 + x * 0.25) 8 + 0.05x = (5 + 0.25x) Solving 8 + 0.05x = 5 + 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. 8 + 0.05x + -0.25x = 5 + 0.25x + -0.25x Combine like terms: 0.05x + -0.25x = -0.2x 8 + -0.2x = 5 + 0.25x + -0.25x Combine like terms: 0.25x + -0.25x = 0.00 8 + -0.2x = 5 + 0.00 8 + -0.2x = 5 Add '-8' to each side of the equation. 8 + -8 + -0.2x = 5 + -8 Combine like terms: 8 + -8 = 0 0 + -0.2x = 5 + -8 -0.2x = 5 + -8 Combine like terms: 5 + -8 = -3 -0.2x = -3 Divide each side by '-0.2'. x = 15 Simplifying x = 15
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