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Simplifying 0.5(x + 60) + 1.3x = 111 Reorder the terms: 0.5(60 + x) + 1.3x = 111 (60 * 0.5 + x * 0.5) + 1.3x = 111 (30 + 0.5x) + 1.3x = 111 Combine like terms: 0.5x + 1.3x = 1.8x 30 + 1.8x = 111 Solving 30 + 1.8x = 111 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 + 1.8x = 111 + -30 Combine like terms: 30 + -30 = 0 0 + 1.8x = 111 + -30 1.8x = 111 + -30 Combine like terms: 111 + -30 = 81 1.8x = 81 Divide each side by '1.8'. x = 45 Simplifying x = 45
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