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Simplifying (5x + -12) + (2x + 100) + (4x + 16) + (6x + 15) + (3x + 41) = 0 Reorder the terms: (-12 + 5x) + (2x + 100) + (4x + 16) + (6x + 15) + (3x + 41) = 0 Remove parenthesis around (-12 + 5x) -12 + 5x + (2x + 100) + (4x + 16) + (6x + 15) + (3x + 41) = 0 Reorder the terms: -12 + 5x + (100 + 2x) + (4x + 16) + (6x + 15) + (3x + 41) = 0 Remove parenthesis around (100 + 2x) -12 + 5x + 100 + 2x + (4x + 16) + (6x + 15) + (3x + 41) = 0 Reorder the terms: -12 + 5x + 100 + 2x + (16 + 4x) + (6x + 15) + (3x + 41) = 0 Remove parenthesis around (16 + 4x) -12 + 5x + 100 + 2x + 16 + 4x + (6x + 15) + (3x + 41) = 0 Reorder the terms: -12 + 5x + 100 + 2x + 16 + 4x + (15 + 6x) + (3x + 41) = 0 Remove parenthesis around (15 + 6x) -12 + 5x + 100 + 2x + 16 + 4x + 15 + 6x + (3x + 41) = 0 Reorder the terms: -12 + 5x + 100 + 2x + 16 + 4x + 15 + 6x + (41 + 3x) = 0 Remove parenthesis around (41 + 3x) -12 + 5x + 100 + 2x + 16 + 4x + 15 + 6x + 41 + 3x = 0 Reorder the terms: -12 + 100 + 16 + 15 + 41 + 5x + 2x + 4x + 6x + 3x = 0 Combine like terms: -12 + 100 = 88 88 + 16 + 15 + 41 + 5x + 2x + 4x + 6x + 3x = 0 Combine like terms: 88 + 16 = 104 104 + 15 + 41 + 5x + 2x + 4x + 6x + 3x = 0 Combine like terms: 104 + 15 = 119 119 + 41 + 5x + 2x + 4x + 6x + 3x = 0 Combine like terms: 119 + 41 = 160 160 + 5x + 2x + 4x + 6x + 3x = 0 Combine like terms: 5x + 2x = 7x 160 + 7x + 4x + 6x + 3x = 0 Combine like terms: 7x + 4x = 11x 160 + 11x + 6x + 3x = 0 Combine like terms: 11x + 6x = 17x 160 + 17x + 3x = 0 Combine like terms: 17x + 3x = 20x 160 + 20x = 0 Solving 160 + 20x = 0 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 = 0 + -160 Combine like terms: 160 + -160 = 0 0 + 20x = 0 + -160 20x = 0 + -160 Combine like terms: 0 + -160 = -160 20x = -160 Divide each side by '20'. x = -8 Simplifying x = -8
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