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Simplifying (2x + 12) + (4x + -5) + (3x + 2) = 0 Reorder the terms: (12 + 2x) + (4x + -5) + (3x + 2) = 0 Remove parenthesis around (12 + 2x) 12 + 2x + (4x + -5) + (3x + 2) = 0 Reorder the terms: 12 + 2x + (-5 + 4x) + (3x + 2) = 0 Remove parenthesis around (-5 + 4x) 12 + 2x + -5 + 4x + (3x + 2) = 0 Reorder the terms: 12 + 2x + -5 + 4x + (2 + 3x) = 0 Remove parenthesis around (2 + 3x) 12 + 2x + -5 + 4x + 2 + 3x = 0 Reorder the terms: 12 + -5 + 2 + 2x + 4x + 3x = 0 Combine like terms: 12 + -5 = 7 7 + 2 + 2x + 4x + 3x = 0 Combine like terms: 7 + 2 = 9 9 + 2x + 4x + 3x = 0 Combine like terms: 2x + 4x = 6x 9 + 6x + 3x = 0 Combine like terms: 6x + 3x = 9x 9 + 9x = 0 Solving 9 + 9x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + 9x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 9x = 0 + -9 9x = 0 + -9 Combine like terms: 0 + -9 = -9 9x = -9 Divide each side by '9'. x = -1 Simplifying x = -1
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