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Simplifying 0.5(x + 30) + 1.1x = 79 Reorder the terms: 0.5(30 + x) + 1.1x = 79 (30 * 0.5 + x * 0.5) + 1.1x = 79 (15 + 0.5x) + 1.1x = 79 Combine like terms: 0.5x + 1.1x = 1.6x 15 + 1.6x = 79 Solving 15 + 1.6x = 79 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + 1.6x = 79 + -15 Combine like terms: 15 + -15 = 0 0 + 1.6x = 79 + -15 1.6x = 79 + -15 Combine like terms: 79 + -15 = 64 1.6x = 64 Divide each side by '1.6'. x = 40 Simplifying x = 40
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