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Simplifying 0.6 + 0.2(x) = 0.25(x + 2) Reorder the terms: 0.6 + 0.2x = 0.25(2 + x) 0.6 + 0.2x = (2 * 0.25 + x * 0.25) 0.6 + 0.2x = (0.5 + 0.25x) Solving 0.6 + 0.2x = 0.5 + 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. 0.6 + 0.2x + -0.25x = 0.5 + 0.25x + -0.25x Combine like terms: 0.2x + -0.25x = -0.05x 0.6 + -0.05x = 0.5 + 0.25x + -0.25x Combine like terms: 0.25x + -0.25x = 0.00 0.6 + -0.05x = 0.5 + 0.00 0.6 + -0.05x = 0.5 Add '-0.6' to each side of the equation. 0.6 + -0.6 + -0.05x = 0.5 + -0.6 Combine like terms: 0.6 + -0.6 = 0.0 0.0 + -0.05x = 0.5 + -0.6 -0.05x = 0.5 + -0.6 Combine like terms: 0.5 + -0.6 = -0.1 -0.05x = -0.1 Divide each side by '-0.05'. x = 2 Simplifying x = 2
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