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Simplifying 540 = x + (x + 45) + 90 + (2x + -90) Reorder the terms: 540 = x + (45 + x) + 90 + (2x + -90) Remove parenthesis around (45 + x) 540 = x + 45 + x + 90 + (2x + -90) Reorder the terms: 540 = x + 45 + x + 90 + (-90 + 2x) Remove parenthesis around (-90 + 2x) 540 = x + 45 + x + 90 + -90 + 2x Reorder the terms: 540 = 45 + 90 + -90 + x + x + 2x Combine like terms: 45 + 90 = 135 540 = 135 + -90 + x + x + 2x Combine like terms: 135 + -90 = 45 540 = 45 + x + x + 2x Combine like terms: x + x = 2x 540 = 45 + 2x + 2x Combine like terms: 2x + 2x = 4x 540 = 45 + 4x Solving 540 = 45 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 540 + -4x = 45 + 4x + -4x Combine like terms: 4x + -4x = 0 540 + -4x = 45 + 0 540 + -4x = 45 Add '-540' to each side of the equation. 540 + -540 + -4x = 45 + -540 Combine like terms: 540 + -540 = 0 0 + -4x = 45 + -540 -4x = 45 + -540 Combine like terms: 45 + -540 = -495 -4x = -495 Divide each side by '-4'. x = 123.75 Simplifying x = 123.75
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