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Simplifying 0.3(x + 60) + 1.3x = 82 Reorder the terms: 0.3(60 + x) + 1.3x = 82 (60 * 0.3 + x * 0.3) + 1.3x = 82 (18 + 0.3x) + 1.3x = 82 Combine like terms: 0.3x + 1.3x = 1.6x 18 + 1.6x = 82 Solving 18 + 1.6x = 82 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + 1.6x = 82 + -18 Combine like terms: 18 + -18 = 0 0 + 1.6x = 82 + -18 1.6x = 82 + -18 Combine like terms: 82 + -18 = 64 1.6x = 64 Divide each side by '1.6'. x = 40 Simplifying x = 40
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