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Simplifying 0.2(x + 80) + 0.6x = 32 Reorder the terms: 0.2(80 + x) + 0.6x = 32 (80 * 0.2 + x * 0.2) + 0.6x = 32 (16 + 0.2x) + 0.6x = 32 Combine like terms: 0.2x + 0.6x = 0.8x 16 + 0.8x = 32 Solving 16 + 0.8x = 32 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + 0.8x = 32 + -16 Combine like terms: 16 + -16 = 0 0 + 0.8x = 32 + -16 0.8x = 32 + -16 Combine like terms: 32 + -16 = 16 0.8x = 16 Divide each side by '0.8'. x = 20 Simplifying x = 20
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