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Simplifying (4x + 5) + (5x + -5) + (6x + 10) + (4x + 10) = 540 Reorder the terms: (5 + 4x) + (5x + -5) + (6x + 10) + (4x + 10) = 540 Remove parenthesis around (5 + 4x) 5 + 4x + (5x + -5) + (6x + 10) + (4x + 10) = 540 Reorder the terms: 5 + 4x + (-5 + 5x) + (6x + 10) + (4x + 10) = 540 Remove parenthesis around (-5 + 5x) 5 + 4x + -5 + 5x + (6x + 10) + (4x + 10) = 540 Reorder the terms: 5 + 4x + -5 + 5x + (10 + 6x) + (4x + 10) = 540 Remove parenthesis around (10 + 6x) 5 + 4x + -5 + 5x + 10 + 6x + (4x + 10) = 540 Reorder the terms: 5 + 4x + -5 + 5x + 10 + 6x + (10 + 4x) = 540 Remove parenthesis around (10 + 4x) 5 + 4x + -5 + 5x + 10 + 6x + 10 + 4x = 540 Reorder the terms: 5 + -5 + 10 + 10 + 4x + 5x + 6x + 4x = 540 Combine like terms: 5 + -5 = 0 0 + 10 + 10 + 4x + 5x + 6x + 4x = 540 10 + 10 + 4x + 5x + 6x + 4x = 540 Combine like terms: 10 + 10 = 20 20 + 4x + 5x + 6x + 4x = 540 Combine like terms: 4x + 5x = 9x 20 + 9x + 6x + 4x = 540 Combine like terms: 9x + 6x = 15x 20 + 15x + 4x = 540 Combine like terms: 15x + 4x = 19x 20 + 19x = 540 Solving 20 + 19x = 540 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + -20 + 19x = 540 + -20 Combine like terms: 20 + -20 = 0 0 + 19x = 540 + -20 19x = 540 + -20 Combine like terms: 540 + -20 = 520 19x = 520 Divide each side by '19'. x = 27.36842105 Simplifying x = 27.36842105
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