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Simplifying 6x + 8x + (7x + -5) + (5x + 5) + (9x + 15) = 540 Reorder the terms: 6x + 8x + (-5 + 7x) + (5x + 5) + (9x + 15) = 540 Remove parenthesis around (-5 + 7x) 6x + 8x + -5 + 7x + (5x + 5) + (9x + 15) = 540 Reorder the terms: 6x + 8x + -5 + 7x + (5 + 5x) + (9x + 15) = 540 Remove parenthesis around (5 + 5x) 6x + 8x + -5 + 7x + 5 + 5x + (9x + 15) = 540 Reorder the terms: 6x + 8x + -5 + 7x + 5 + 5x + (15 + 9x) = 540 Remove parenthesis around (15 + 9x) 6x + 8x + -5 + 7x + 5 + 5x + 15 + 9x = 540 Reorder the terms: -5 + 5 + 15 + 6x + 8x + 7x + 5x + 9x = 540 Combine like terms: -5 + 5 = 0 0 + 15 + 6x + 8x + 7x + 5x + 9x = 540 15 + 6x + 8x + 7x + 5x + 9x = 540 Combine like terms: 6x + 8x = 14x 15 + 14x + 7x + 5x + 9x = 540 Combine like terms: 14x + 7x = 21x 15 + 21x + 5x + 9x = 540 Combine like terms: 21x + 5x = 26x 15 + 26x + 9x = 540 Combine like terms: 26x + 9x = 35x 15 + 35x = 540 Solving 15 + 35x = 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 + 35x = 540 + -15 Combine like terms: 15 + -15 = 0 0 + 35x = 540 + -15 35x = 540 + -15 Combine like terms: 540 + -15 = 525 35x = 525 Divide each side by '35'. x = 15 Simplifying x = 15
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