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Simplifying 10 + 0.25x = 12 + 0.20x Solving 10 + 0.25x = 12 + 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. 10 + 0.25x + -0.20x = 12 + 0.20x + -0.20x Combine like terms: 0.25x + -0.20x = 0.05x 10 + 0.05x = 12 + 0.20x + -0.20x Combine like terms: 0.20x + -0.20x = 0.00 10 + 0.05x = 12 + 0.00 10 + 0.05x = 12 Add '-10' to each side of the equation. 10 + -10 + 0.05x = 12 + -10 Combine like terms: 10 + -10 = 0 0 + 0.05x = 12 + -10 0.05x = 12 + -10 Combine like terms: 12 + -10 = 2 0.05x = 2 Divide each side by '0.05'. x = 40 Simplifying x = 40
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