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Simplifying 0.5x + 0.5x + (x + -15) + (x + 25) = 100 Reorder the terms: 0.5x + 0.5x + (-15 + x) + (x + 25) = 100 Remove parenthesis around (-15 + x) 0.5x + 0.5x + -15 + x + (x + 25) = 100 Reorder the terms: 0.5x + 0.5x + -15 + x + (25 + x) = 100 Remove parenthesis around (25 + x) 0.5x + 0.5x + -15 + x + 25 + x = 100 Reorder the terms: -15 + 25 + 0.5x + 0.5x + x + x = 100 Combine like terms: -15 + 25 = 10 10 + 0.5x + 0.5x + x + x = 100 Combine like terms: 0.5x + 0.5x = 1x 10 + 1x + x + x = 100 Combine like terms: 1x + x = 2x 10 + 2x + x = 100 Combine like terms: 2x + x = 3x 10 + 3x = 100 Solving 10 + 3x = 100 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + 3x = 100 + -10 Combine like terms: 10 + -10 = 0 0 + 3x = 100 + -10 3x = 100 + -10 Combine like terms: 100 + -10 = 90 3x = 90 Divide each side by '3'. x = 30 Simplifying x = 30
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