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Simplifying (x + 35) + (x + -18) + (2x + 6) + (x + 46) + (x + -9) = 540 Reorder the terms: (35 + x) + (x + -18) + (2x + 6) + (x + 46) + (x + -9) = 540 Remove parenthesis around (35 + x) 35 + x + (x + -18) + (2x + 6) + (x + 46) + (x + -9) = 540 Reorder the terms: 35 + x + (-18 + x) + (2x + 6) + (x + 46) + (x + -9) = 540 Remove parenthesis around (-18 + x) 35 + x + -18 + x + (2x + 6) + (x + 46) + (x + -9) = 540 Reorder the terms: 35 + x + -18 + x + (6 + 2x) + (x + 46) + (x + -9) = 540 Remove parenthesis around (6 + 2x) 35 + x + -18 + x + 6 + 2x + (x + 46) + (x + -9) = 540 Reorder the terms: 35 + x + -18 + x + 6 + 2x + (46 + x) + (x + -9) = 540 Remove parenthesis around (46 + x) 35 + x + -18 + x + 6 + 2x + 46 + x + (x + -9) = 540 Reorder the terms: 35 + x + -18 + x + 6 + 2x + 46 + x + (-9 + x) = 540 Remove parenthesis around (-9 + x) 35 + x + -18 + x + 6 + 2x + 46 + x + -9 + x = 540 Reorder the terms: 35 + -18 + 6 + 46 + -9 + x + x + 2x + x + x = 540 Combine like terms: 35 + -18 = 17 17 + 6 + 46 + -9 + x + x + 2x + x + x = 540 Combine like terms: 17 + 6 = 23 23 + 46 + -9 + x + x + 2x + x + x = 540 Combine like terms: 23 + 46 = 69 69 + -9 + x + x + 2x + x + x = 540 Combine like terms: 69 + -9 = 60 60 + x + x + 2x + x + x = 540 Combine like terms: x + x = 2x 60 + 2x + 2x + x + x = 540 Combine like terms: 2x + 2x = 4x 60 + 4x + x + x = 540 Combine like terms: 4x + x = 5x 60 + 5x + x = 540 Combine like terms: 5x + x = 6x 60 + 6x = 540 Solving 60 + 6x = 540 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-60' to each side of the equation. 60 + -60 + 6x = 540 + -60 Combine like terms: 60 + -60 = 0 0 + 6x = 540 + -60 6x = 540 + -60 Combine like terms: 540 + -60 = 480 6x = 480 Divide each side by '6'. x = 80 Simplifying x = 80
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