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Simplifying 0.5(x + 20) + 1.3x = 91 Reorder the terms: 0.5(20 + x) + 1.3x = 91 (20 * 0.5 + x * 0.5) + 1.3x = 91 (10 + 0.5x) + 1.3x = 91 Combine like terms: 0.5x + 1.3x = 1.8x 10 + 1.8x = 91 Solving 10 + 1.8x = 91 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + 1.8x = 91 + -10 Combine like terms: 10 + -10 = 0 0 + 1.8x = 91 + -10 1.8x = 91 + -10 Combine like terms: 91 + -10 = 81 1.8x = 81 Divide each side by '1.8'. x = 45 Simplifying x = 45
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