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Simplifying 0.5(x + 40) + 1.1x = 84 Reorder the terms: 0.5(40 + x) + 1.1x = 84 (40 * 0.5 + x * 0.5) + 1.1x = 84 (20 + 0.5x) + 1.1x = 84 Combine like terms: 0.5x + 1.1x = 1.6x 20 + 1.6x = 84 Solving 20 + 1.6x = 84 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + -20 + 1.6x = 84 + -20 Combine like terms: 20 + -20 = 0 0 + 1.6x = 84 + -20 1.6x = 84 + -20 Combine like terms: 84 + -20 = 64 1.6x = 64 Divide each side by '1.6'. x = 40 Simplifying x = 40
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