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Simplifying (x + 40) + (2x + 110) + (3x + 90) = 360 Reorder the terms: (40 + x) + (2x + 110) + (3x + 90) = 360 Remove parenthesis around (40 + x) 40 + x + (2x + 110) + (3x + 90) = 360 Reorder the terms: 40 + x + (110 + 2x) + (3x + 90) = 360 Remove parenthesis around (110 + 2x) 40 + x + 110 + 2x + (3x + 90) = 360 Reorder the terms: 40 + x + 110 + 2x + (90 + 3x) = 360 Remove parenthesis around (90 + 3x) 40 + x + 110 + 2x + 90 + 3x = 360 Reorder the terms: 40 + 110 + 90 + x + 2x + 3x = 360 Combine like terms: 40 + 110 = 150 150 + 90 + x + 2x + 3x = 360 Combine like terms: 150 + 90 = 240 240 + x + 2x + 3x = 360 Combine like terms: x + 2x = 3x 240 + 3x + 3x = 360 Combine like terms: 3x + 3x = 6x 240 + 6x = 360 Solving 240 + 6x = 360 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-240' to each side of the equation. 240 + -240 + 6x = 360 + -240 Combine like terms: 240 + -240 = 0 0 + 6x = 360 + -240 6x = 360 + -240 Combine like terms: 360 + -240 = 120 6x = 120 Divide each side by '6'. x = 20 Simplifying x = 20
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