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Simplifying 0.5(x + 60) + 1.1x = 94 Reorder the terms: 0.5(60 + x) + 1.1x = 94 (60 * 0.5 + x * 0.5) + 1.1x = 94 (30 + 0.5x) + 1.1x = 94 Combine like terms: 0.5x + 1.1x = 1.6x 30 + 1.6x = 94 Solving 30 + 1.6x = 94 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-30' to each side of the equation. 30 + -30 + 1.6x = 94 + -30 Combine like terms: 30 + -30 = 0 0 + 1.6x = 94 + -30 1.6x = 94 + -30 Combine like terms: 94 + -30 = 64 1.6x = 64 Divide each side by '1.6'. x = 40 Simplifying x = 40
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