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Simplifying 0.3x + 0.6 = 0.25(x + 3) Reorder the terms: 0.6 + 0.3x = 0.25(x + 3) Reorder the terms: 0.6 + 0.3x = 0.25(3 + x) 0.6 + 0.3x = (3 * 0.25 + x * 0.25) 0.6 + 0.3x = (0.75 + 0.25x) Solving 0.6 + 0.3x = 0.75 + 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 + 0.3x + -0.25x = 0.75 + 0.25x + -0.25x Combine like terms: 0.3x + -0.25x = 0.05x 0.6 + 0.05x = 0.75 + 0.25x + -0.25x Combine like terms: 0.25x + -0.25x = 0.00 0.6 + 0.05x = 0.75 + 0.00 0.6 + 0.05x = 0.75 Add '-0.6' to each side of the equation. 0.6 + -0.6 + 0.05x = 0.75 + -0.6 Combine like terms: 0.6 + -0.6 = 0.0 0.0 + 0.05x = 0.75 + -0.6 0.05x = 0.75 + -0.6 Combine like terms: 0.75 + -0.6 = 0.15 0.05x = 0.15 Divide each side by '0.05'. x = 3 Simplifying x = 3
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