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Simplifying (x + 40) + (3x + 20) + (2x + 60) = 360 Reorder the terms: (40 + x) + (3x + 20) + (2x + 60) = 360 Remove parenthesis around (40 + x) 40 + x + (3x + 20) + (2x + 60) = 360 Reorder the terms: 40 + x + (20 + 3x) + (2x + 60) = 360 Remove parenthesis around (20 + 3x) 40 + x + 20 + 3x + (2x + 60) = 360 Reorder the terms: 40 + x + 20 + 3x + (60 + 2x) = 360 Remove parenthesis around (60 + 2x) 40 + x + 20 + 3x + 60 + 2x = 360 Reorder the terms: 40 + 20 + 60 + x + 3x + 2x = 360 Combine like terms: 40 + 20 = 60 60 + 60 + x + 3x + 2x = 360 Combine like terms: 60 + 60 = 120 120 + x + 3x + 2x = 360 Combine like terms: x + 3x = 4x 120 + 4x + 2x = 360 Combine like terms: 4x + 2x = 6x 120 + 6x = 360 Solving 120 + 6x = 360 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-120' to each side of the equation. 120 + -120 + 6x = 360 + -120 Combine like terms: 120 + -120 = 0 0 + 6x = 360 + -120 6x = 360 + -120 Combine like terms: 360 + -120 = 240 6x = 240 Divide each side by '6'. x = 40 Simplifying x = 40
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