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Simplifying (82 * 0.4) + (65 * 0.4) + (x * 0.2) = 61 Multiply 82 * 0.4 (32.8) + (65 * 0.4) + (x * 0.2) = 61 32.8 + (65 * 0.4) + (x * 0.2) = 61 Multiply 65 * 0.4 32.8 + (26) + (x * 0.2) = 61 32.8 + 26 + (x * 0.2) = 61 Reorder the terms for easier multiplication: 32.8 + 26 + (0.2x) = 61 Combine like terms: 32.8 + 26 = 58.8 58.8 + (0.2x) = 61 Solving 58.8 + (0.2x) = 61 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-58.8' to each side of the equation. 58.8 + -58.8 + (0.2x) = 61 + -58.8 Combine like terms: 58.8 + -58.8 = 0.0 0.0 + (0.2x) = 61 + -58.8 (0.2x) = 61 + -58.8 Combine like terms: 61 + -58.8 = 2.2 (0.2x) = 2.2 Divide each side by '0.2'. x = 11 Simplifying x = 11
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