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Simplifying 0.05x + 0.25(40 + x) + 0.10(3x) = 17.20 0.05x + (40 * 0.25 + x * 0.25) + 0.10(3x) = 17.20 0.05x + (10 + 0.25x) + 0.10(3x) = 17.20 Remove parenthesis around (3x) 0.05x + 10 + 0.25x + 0.10 * 3x = 17.20 Multiply 0.10 * 3 0.05x + 10 + 0.25x + 0.3x = 17.20 Reorder the terms: 10 + 0.05x + 0.25x + 0.3x = 17.20 Combine like terms: 0.05x + 0.25x = 0.3x 10 + 0.3x + 0.3x = 17.20 Combine like terms: 0.3x + 0.3x = 0.6x 10 + 0.6x = 17.20 Solving 10 + 0.6x = 17.20 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + 0.6x = 17.20 + -10 Combine like terms: 10 + -10 = 0 0 + 0.6x = 17.20 + -10 0.6x = 17.20 + -10 Combine like terms: 17.20 + -10 = 7.2 0.6x = 7.2 Divide each side by '0.6'. x = 12 Simplifying x = 12
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