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Simplifying 0.4(x + 80) + 0.2x = 41 Reorder the terms: 0.4(80 + x) + 0.2x = 41 (80 * 0.4 + x * 0.4) + 0.2x = 41 (32 + 0.4x) + 0.2x = 41 Combine like terms: 0.4x + 0.2x = 0.6x 32 + 0.6x = 41 Solving 32 + 0.6x = 41 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-32' to each side of the equation. 32 + -32 + 0.6x = 41 + -32 Combine like terms: 32 + -32 = 0 0 + 0.6x = 41 + -32 0.6x = 41 + -32 Combine like terms: 41 + -32 = 9 0.6x = 9 Divide each side by '0.6'. x = 15 Simplifying x = 15
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