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Simplifying (5x + 5) + (8x + -20) + (8x + 30) = 540 Reorder the terms: (5 + 5x) + (8x + -20) + (8x + 30) = 540 Remove parenthesis around (5 + 5x) 5 + 5x + (8x + -20) + (8x + 30) = 540 Reorder the terms: 5 + 5x + (-20 + 8x) + (8x + 30) = 540 Remove parenthesis around (-20 + 8x) 5 + 5x + -20 + 8x + (8x + 30) = 540 Reorder the terms: 5 + 5x + -20 + 8x + (30 + 8x) = 540 Remove parenthesis around (30 + 8x) 5 + 5x + -20 + 8x + 30 + 8x = 540 Reorder the terms: 5 + -20 + 30 + 5x + 8x + 8x = 540 Combine like terms: 5 + -20 = -15 -15 + 30 + 5x + 8x + 8x = 540 Combine like terms: -15 + 30 = 15 15 + 5x + 8x + 8x = 540 Combine like terms: 5x + 8x = 13x 15 + 13x + 8x = 540 Combine like terms: 13x + 8x = 21x 15 + 21x = 540 Solving 15 + 21x = 540 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + 21x = 540 + -15 Combine like terms: 15 + -15 = 0 0 + 21x = 540 + -15 21x = 540 + -15 Combine like terms: 540 + -15 = 525 21x = 525 Divide each side by '21'. x = 25 Simplifying x = 25
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