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Simplifying (x + 35) + (x + 15) + (2x + -20) + (2x) = 360 Reorder the terms: (35 + x) + (x + 15) + (2x + -20) + (2x) = 360 Remove parenthesis around (35 + x) 35 + x + (x + 15) + (2x + -20) + (2x) = 360 Reorder the terms: 35 + x + (15 + x) + (2x + -20) + (2x) = 360 Remove parenthesis around (15 + x) 35 + x + 15 + x + (2x + -20) + (2x) = 360 Reorder the terms: 35 + x + 15 + x + (-20 + 2x) + (2x) = 360 Remove parenthesis around (-20 + 2x) 35 + x + 15 + x + -20 + 2x + (2x) = 360 Reorder the terms: 35 + 15 + -20 + x + x + 2x + (2x) = 360 Combine like terms: 35 + 15 = 50 50 + -20 + x + x + 2x + (2x) = 360 Combine like terms: 50 + -20 = 30 30 + x + x + 2x + (2x) = 360 Combine like terms: x + x = 2x 30 + 2x + 2x + (2x) = 360 Combine like terms: 2x + 2x = 4x 30 + 4x + (2x) = 360 Combine like terms: 4x + (2x) = 6x 30 + 6x = 360 Solving 30 + 6x = 360 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-30' to each side of the equation. 30 + -30 + 6x = 360 + -30 Combine like terms: 30 + -30 = 0 0 + 6x = 360 + -30 6x = 360 + -30 Combine like terms: 360 + -30 = 330 6x = 330 Divide each side by '6'. x = 55 Simplifying x = 55
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