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Simplifying 0.3(x + 80) + 0.5x = 40 Reorder the terms: 0.3(80 + x) + 0.5x = 40 (80 * 0.3 + x * 0.3) + 0.5x = 40 (24 + 0.3x) + 0.5x = 40 Combine like terms: 0.3x + 0.5x = 0.8x 24 + 0.8x = 40 Solving 24 + 0.8x = 40 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + -24 + 0.8x = 40 + -24 Combine like terms: 24 + -24 = 0 0 + 0.8x = 40 + -24 0.8x = 40 + -24 Combine like terms: 40 + -24 = 16 0.8x = 16 Divide each side by '0.8'. x = 20 Simplifying x = 20
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