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Simplifying 0.05(20) + 0.4x = 0.25(x + 20) Multiply 0.05 * 20 1 + 0.4x = 0.25(x + 20) Reorder the terms: 1 + 0.4x = 0.25(20 + x) 1 + 0.4x = (20 * 0.25 + x * 0.25) 1 + 0.4x = (5 + 0.25x) Solving 1 + 0.4x = 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. 1 + 0.4x + -0.25x = 5 + 0.25x + -0.25x Combine like terms: 0.4x + -0.25x = 0.15x 1 + 0.15x = 5 + 0.25x + -0.25x Combine like terms: 0.25x + -0.25x = 0.00 1 + 0.15x = 5 + 0.00 1 + 0.15x = 5 Add '-1' to each side of the equation. 1 + -1 + 0.15x = 5 + -1 Combine like terms: 1 + -1 = 0 0 + 0.15x = 5 + -1 0.15x = 5 + -1 Combine like terms: 5 + -1 = 4 0.15x = 4 Divide each side by '0.15'. x = 26.66666667 Simplifying x = 26.66666667
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