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Simplifying 540 = (5x + 2) + (3x + 5) + (8x + 8) + (5x + 10) + (4x + 15) Reorder the terms: 540 = (2 + 5x) + (3x + 5) + (8x + 8) + (5x + 10) + (4x + 15) Remove parenthesis around (2 + 5x) 540 = 2 + 5x + (3x + 5) + (8x + 8) + (5x + 10) + (4x + 15) Reorder the terms: 540 = 2 + 5x + (5 + 3x) + (8x + 8) + (5x + 10) + (4x + 15) Remove parenthesis around (5 + 3x) 540 = 2 + 5x + 5 + 3x + (8x + 8) + (5x + 10) + (4x + 15) Reorder the terms: 540 = 2 + 5x + 5 + 3x + (8 + 8x) + (5x + 10) + (4x + 15) Remove parenthesis around (8 + 8x) 540 = 2 + 5x + 5 + 3x + 8 + 8x + (5x + 10) + (4x + 15) Reorder the terms: 540 = 2 + 5x + 5 + 3x + 8 + 8x + (10 + 5x) + (4x + 15) Remove parenthesis around (10 + 5x) 540 = 2 + 5x + 5 + 3x + 8 + 8x + 10 + 5x + (4x + 15) Reorder the terms: 540 = 2 + 5x + 5 + 3x + 8 + 8x + 10 + 5x + (15 + 4x) Remove parenthesis around (15 + 4x) 540 = 2 + 5x + 5 + 3x + 8 + 8x + 10 + 5x + 15 + 4x Reorder the terms: 540 = 2 + 5 + 8 + 10 + 15 + 5x + 3x + 8x + 5x + 4x Combine like terms: 2 + 5 = 7 540 = 7 + 8 + 10 + 15 + 5x + 3x + 8x + 5x + 4x Combine like terms: 7 + 8 = 15 540 = 15 + 10 + 15 + 5x + 3x + 8x + 5x + 4x Combine like terms: 15 + 10 = 25 540 = 25 + 15 + 5x + 3x + 8x + 5x + 4x Combine like terms: 25 + 15 = 40 540 = 40 + 5x + 3x + 8x + 5x + 4x Combine like terms: 5x + 3x = 8x 540 = 40 + 8x + 8x + 5x + 4x Combine like terms: 8x + 8x = 16x 540 = 40 + 16x + 5x + 4x Combine like terms: 16x + 5x = 21x 540 = 40 + 21x + 4x Combine like terms: 21x + 4x = 25x 540 = 40 + 25x Solving 540 = 40 + 25x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-25x' to each side of the equation. 540 + -25x = 40 + 25x + -25x Combine like terms: 25x + -25x = 0 540 + -25x = 40 + 0 540 + -25x = 40 Add '-540' to each side of the equation. 540 + -540 + -25x = 40 + -540 Combine like terms: 540 + -540 = 0 0 + -25x = 40 + -540 -25x = 40 + -540 Combine like terms: 40 + -540 = -500 -25x = -500 Divide each side by '-25'. x = 20 Simplifying x = 20
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