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Simplifying 0.5x + x + (x + 5) = 100 Reorder the terms: 0.5x + x + (5 + x) = 100 Remove parenthesis around (5 + x) 0.5x + x + 5 + x = 100 Reorder the terms: 5 + 0.5x + x + x = 100 Combine like terms: 0.5x + x = 1.5x 5 + 1.5x + x = 100 Combine like terms: 1.5x + x = 2.5x 5 + 2.5x = 100 Solving 5 + 2.5x = 100 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 + 2.5x = 100 + -5 Combine like terms: 5 + -5 = 0 0 + 2.5x = 100 + -5 2.5x = 100 + -5 Combine like terms: 100 + -5 = 95 2.5x = 95 Divide each side by '2.5'. x = 38 Simplifying x = 38
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