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Simplifying 0.5(x + 10) + 1.3x = 86 Reorder the terms: 0.5(10 + x) + 1.3x = 86 (10 * 0.5 + x * 0.5) + 1.3x = 86 (5 + 0.5x) + 1.3x = 86 Combine like terms: 0.5x + 1.3x = 1.8x 5 + 1.8x = 86 Solving 5 + 1.8x = 86 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 1.8x = 86 + -5 Combine like terms: 5 + -5 = 0 0 + 1.8x = 86 + -5 1.8x = 86 + -5 Combine like terms: 86 + -5 = 81 1.8x = 81 Divide each side by '1.8'. x = 45 Simplifying x = 45
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