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Simplifying 100 + (0.5x) + (x + -15) + (0.5x) + (x + -25) = 540 Reorder the terms: 100 + (0.5x) + (-15 + x) + (0.5x) + (x + -25) = 540 Remove parenthesis around (-15 + x) 100 + (0.5x) + -15 + x + (0.5x) + (x + -25) = 540 Reorder the terms: 100 + (0.5x) + -15 + x + (0.5x) + (-25 + x) = 540 Remove parenthesis around (-25 + x) 100 + (0.5x) + -15 + x + (0.5x) + -25 + x = 540 Reorder the terms: 100 + -15 + -25 + (0.5x) + x + (0.5x) + x = 540 Combine like terms: 100 + -15 = 85 85 + -25 + (0.5x) + x + (0.5x) + x = 540 Combine like terms: 85 + -25 = 60 60 + (0.5x) + x + (0.5x) + x = 540 Combine like terms: (0.5x) + x = 1.5x 60 + 1.5x + (0.5x) + x = 540 Combine like terms: 1.5x + (0.5x) = 2x 60 + 2x + x = 540 Combine like terms: 2x + x = 3x 60 + 3x = 540 Solving 60 + 3x = 540 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-60' to each side of the equation. 60 + -60 + 3x = 540 + -60 Combine like terms: 60 + -60 = 0 0 + 3x = 540 + -60 3x = 540 + -60 Combine like terms: 540 + -60 = 480 3x = 480 Divide each side by '3'. x = 160 Simplifying x = 160
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