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Simplifying 0.25x + 1 = 0.20(x + 2) Reorder the terms: 1 + 0.25x = 0.20(x + 2) Reorder the terms: 1 + 0.25x = 0.20(2 + x) 1 + 0.25x = (2 * 0.20 + x * 0.20) 1 + 0.25x = (0.4 + 0.20x) Solving 1 + 0.25x = 0.4 + 0.20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.20x' to each side of the equation. 1 + 0.25x + -0.20x = 0.4 + 0.20x + -0.20x Combine like terms: 0.25x + -0.20x = 0.05x 1 + 0.05x = 0.4 + 0.20x + -0.20x Combine like terms: 0.20x + -0.20x = 0.00 1 + 0.05x = 0.4 + 0.00 1 + 0.05x = 0.4 Add '-1' to each side of the equation. 1 + -1 + 0.05x = 0.4 + -1 Combine like terms: 1 + -1 = 0 0 + 0.05x = 0.4 + -1 0.05x = 0.4 + -1 Combine like terms: 0.4 + -1 = -0.6 0.05x = -0.6 Divide each side by '0.05'. x = -12 Simplifying x = -12
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