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Simplifying 0.5(x + 80) + 0.3x = 56 Reorder the terms: 0.5(80 + x) + 0.3x = 56 (80 * 0.5 + x * 0.5) + 0.3x = 56 (40 + 0.5x) + 0.3x = 56 Combine like terms: 0.5x + 0.3x = 0.8x 40 + 0.8x = 56 Solving 40 + 0.8x = 56 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-40' to each side of the equation. 40 + -40 + 0.8x = 56 + -40 Combine like terms: 40 + -40 = 0 0 + 0.8x = 56 + -40 0.8x = 56 + -40 Combine like terms: 56 + -40 = 16 0.8x = 16 Divide each side by '0.8'. x = 20 Simplifying x = 20
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