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Simplifying 540 = (9x + -8) + (140) + (110) + (10x) + (5x + 10) Reorder the terms: 540 = (-8 + 9x) + (140) + (110) + (10x) + (5x + 10) Remove parenthesis around (-8 + 9x) 540 = -8 + 9x + (140) + (110) + (10x) + (5x + 10) 540 = -8 + 9x + 140 + (110) + (10x) + (5x + 10) 540 = -8 + 9x + 140 + 110 + (10x) + (5x + 10) Reorder the terms: 540 = -8 + 9x + 140 + 110 + (10x) + (10 + 5x) Remove parenthesis around (10 + 5x) 540 = -8 + 9x + 140 + 110 + (10x) + 10 + 5x Reorder the terms: 540 = -8 + 140 + 110 + 10 + 9x + (10x) + 5x Combine like terms: -8 + 140 = 132 540 = 132 + 110 + 10 + 9x + (10x) + 5x Combine like terms: 132 + 110 = 242 540 = 242 + 10 + 9x + (10x) + 5x Combine like terms: 242 + 10 = 252 540 = 252 + 9x + (10x) + 5x Combine like terms: 9x + (10x) = 19x 540 = 252 + 19x + 5x Combine like terms: 19x + 5x = 24x 540 = 252 + 24x Solving 540 = 252 + 24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24x' to each side of the equation. 540 + -24x = 252 + 24x + -24x Combine like terms: 24x + -24x = 0 540 + -24x = 252 + 0 540 + -24x = 252 Add '-540' to each side of the equation. 540 + -540 + -24x = 252 + -540 Combine like terms: 540 + -540 = 0 0 + -24x = 252 + -540 -24x = 252 + -540 Combine like terms: 252 + -540 = -288 -24x = -288 Divide each side by '-24'. x = 12 Simplifying x = 12
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