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Simplifying (4x + 5) + 7x + (4x + 10) + (5x + -5) = 540 Reorder the terms: (5 + 4x) + 7x + (4x + 10) + (5x + -5) = 540 Remove parenthesis around (5 + 4x) 5 + 4x + 7x + (4x + 10) + (5x + -5) = 540 Reorder the terms: 5 + 4x + 7x + (10 + 4x) + (5x + -5) = 540 Remove parenthesis around (10 + 4x) 5 + 4x + 7x + 10 + 4x + (5x + -5) = 540 Reorder the terms: 5 + 4x + 7x + 10 + 4x + (-5 + 5x) = 540 Remove parenthesis around (-5 + 5x) 5 + 4x + 7x + 10 + 4x + -5 + 5x = 540 Reorder the terms: 5 + 10 + -5 + 4x + 7x + 4x + 5x = 540 Combine like terms: 5 + 10 = 15 15 + -5 + 4x + 7x + 4x + 5x = 540 Combine like terms: 15 + -5 = 10 10 + 4x + 7x + 4x + 5x = 540 Combine like terms: 4x + 7x = 11x 10 + 11x + 4x + 5x = 540 Combine like terms: 11x + 4x = 15x 10 + 15x + 5x = 540 Combine like terms: 15x + 5x = 20x 10 + 20x = 540 Solving 10 + 20x = 540 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + 20x = 540 + -10 Combine like terms: 10 + -10 = 0 0 + 20x = 540 + -10 20x = 540 + -10 Combine like terms: 540 + -10 = 530 20x = 530 Divide each side by '20'. x = 26.5 Simplifying x = 26.5
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