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Simplifying 0.5x + (x + -25) + (x + -15) + 0.5x + 100 = 540 Reorder the terms: 0.5x + (-25 + x) + (x + -15) + 0.5x + 100 = 540 Remove parenthesis around (-25 + x) 0.5x + -25 + x + (x + -15) + 0.5x + 100 = 540 Reorder the terms: 0.5x + -25 + x + (-15 + x) + 0.5x + 100 = 540 Remove parenthesis around (-15 + x) 0.5x + -25 + x + -15 + x + 0.5x + 100 = 540 Reorder the terms: -25 + -15 + 100 + 0.5x + x + x + 0.5x = 540 Combine like terms: -25 + -15 = -40 -40 + 100 + 0.5x + x + x + 0.5x = 540 Combine like terms: -40 + 100 = 60 60 + 0.5x + x + x + 0.5x = 540 Combine like terms: 0.5x + x = 1.5x 60 + 1.5x + x + 0.5x = 540 Combine like terms: 1.5x + x = 2.5x 60 + 2.5x + 0.5x = 540 Combine like terms: 2.5x + 0.5x = 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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