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Simplifying 85 + 90 + 120 + (180 + -1x) + (2x + -10) = 540 Remove parenthesis around (180 + -1x) 85 + 90 + 120 + 180 + -1x + (2x + -10) = 540 Reorder the terms: 85 + 90 + 120 + 180 + -1x + (-10 + 2x) = 540 Remove parenthesis around (-10 + 2x) 85 + 90 + 120 + 180 + -1x + -10 + 2x = 540 Reorder the terms: 85 + 90 + 120 + 180 + -10 + -1x + 2x = 540 Combine like terms: 85 + 90 = 175 175 + 120 + 180 + -10 + -1x + 2x = 540 Combine like terms: 175 + 120 = 295 295 + 180 + -10 + -1x + 2x = 540 Combine like terms: 295 + 180 = 475 475 + -10 + -1x + 2x = 540 Combine like terms: 475 + -10 = 465 465 + -1x + 2x = 540 Combine like terms: -1x + 2x = 1x 465 + 1x = 540 Solving 465 + 1x = 540 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-465' to each side of the equation. 465 + -465 + 1x = 540 + -465 Combine like terms: 465 + -465 = 0 0 + 1x = 540 + -465 1x = 540 + -465 Combine like terms: 540 + -465 = 75 1x = 75 Divide each side by '1'. x = 75 Simplifying x = 75
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