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Simplifying (2x + 9) + (3x + -1) + c = 0 Reorder the terms: (9 + 2x) + (3x + -1) + c = 0 Remove parenthesis around (9 + 2x) 9 + 2x + (3x + -1) + c = 0 Reorder the terms: 9 + 2x + (-1 + 3x) + c = 0 Remove parenthesis around (-1 + 3x) 9 + 2x + -1 + 3x + c = 0 Reorder the terms: 9 + -1 + c + 2x + 3x = 0 Combine like terms: 9 + -1 = 8 8 + c + 2x + 3x = 0 Combine like terms: 2x + 3x = 5x 8 + c + 5x = 0 Solving 8 + c + 5x = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + c + -8 + 5x = 0 + -8 Reorder the terms: 8 + -8 + c + 5x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + c + 5x = 0 + -8 c + 5x = 0 + -8 Combine like terms: 0 + -8 = -8 c + 5x = -8 Add '-5x' to each side of the equation. c + 5x + -5x = -8 + -5x Combine like terms: 5x + -5x = 0 c + 0 = -8 + -5x c = -8 + -5x Simplifying c = -8 + -5x
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