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Simplifying (3x + 41) + (4x + 16) + (5x + -12) + (2x + 100) + (6x + 15) = 360 Reorder the terms: (41 + 3x) + (4x + 16) + (5x + -12) + (2x + 100) + (6x + 15) = 360 Remove parenthesis around (41 + 3x) 41 + 3x + (4x + 16) + (5x + -12) + (2x + 100) + (6x + 15) = 360 Reorder the terms: 41 + 3x + (16 + 4x) + (5x + -12) + (2x + 100) + (6x + 15) = 360 Remove parenthesis around (16 + 4x) 41 + 3x + 16 + 4x + (5x + -12) + (2x + 100) + (6x + 15) = 360 Reorder the terms: 41 + 3x + 16 + 4x + (-12 + 5x) + (2x + 100) + (6x + 15) = 360 Remove parenthesis around (-12 + 5x) 41 + 3x + 16 + 4x + -12 + 5x + (2x + 100) + (6x + 15) = 360 Reorder the terms: 41 + 3x + 16 + 4x + -12 + 5x + (100 + 2x) + (6x + 15) = 360 Remove parenthesis around (100 + 2x) 41 + 3x + 16 + 4x + -12 + 5x + 100 + 2x + (6x + 15) = 360 Reorder the terms: 41 + 3x + 16 + 4x + -12 + 5x + 100 + 2x + (15 + 6x) = 360 Remove parenthesis around (15 + 6x) 41 + 3x + 16 + 4x + -12 + 5x + 100 + 2x + 15 + 6x = 360 Reorder the terms: 41 + 16 + -12 + 100 + 15 + 3x + 4x + 5x + 2x + 6x = 360 Combine like terms: 41 + 16 = 57 57 + -12 + 100 + 15 + 3x + 4x + 5x + 2x + 6x = 360 Combine like terms: 57 + -12 = 45 45 + 100 + 15 + 3x + 4x + 5x + 2x + 6x = 360 Combine like terms: 45 + 100 = 145 145 + 15 + 3x + 4x + 5x + 2x + 6x = 360 Combine like terms: 145 + 15 = 160 160 + 3x + 4x + 5x + 2x + 6x = 360 Combine like terms: 3x + 4x = 7x 160 + 7x + 5x + 2x + 6x = 360 Combine like terms: 7x + 5x = 12x 160 + 12x + 2x + 6x = 360 Combine like terms: 12x + 2x = 14x 160 + 14x + 6x = 360 Combine like terms: 14x + 6x = 20x 160 + 20x = 360 Solving 160 + 20x = 360 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-160' to each side of the equation. 160 + -160 + 20x = 360 + -160 Combine like terms: 160 + -160 = 0 0 + 20x = 360 + -160 20x = 360 + -160 Combine like terms: 360 + -160 = 200 20x = 200 Divide each side by '20'. x = 10 Simplifying x = 10
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