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Simplifying 0.4(x + 80) + 0.2 = 41 Reorder the terms: 0.4(80 + x) + 0.2 = 41 (80 * 0.4 + x * 0.4) + 0.2 = 41 (32 + 0.4x) + 0.2 = 41 Reorder the terms: 32 + 0.2 + 0.4x = 41 Combine like terms: 32 + 0.2 = 32.2 32.2 + 0.4x = 41 Solving 32.2 + 0.4x = 41 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-32.2' to each side of the equation. 32.2 + -32.2 + 0.4x = 41 + -32.2 Combine like terms: 32.2 + -32.2 = 0.0 0.0 + 0.4x = 41 + -32.2 0.4x = 41 + -32.2 Combine like terms: 41 + -32.2 = 8.8 0.4x = 8.8 Divide each side by '0.4'. x = 22 Simplifying x = 22
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