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Simplifying (x + 4) + (2x + 1) + (3x + -2) = 0 Reorder the terms: (4 + x) + (2x + 1) + (3x + -2) = 0 Remove parenthesis around (4 + x) 4 + x + (2x + 1) + (3x + -2) = 0 Reorder the terms: 4 + x + (1 + 2x) + (3x + -2) = 0 Remove parenthesis around (1 + 2x) 4 + x + 1 + 2x + (3x + -2) = 0 Reorder the terms: 4 + x + 1 + 2x + (-2 + 3x) = 0 Remove parenthesis around (-2 + 3x) 4 + x + 1 + 2x + -2 + 3x = 0 Reorder the terms: 4 + 1 + -2 + x + 2x + 3x = 0 Combine like terms: 4 + 1 = 5 5 + -2 + x + 2x + 3x = 0 Combine like terms: 5 + -2 = 3 3 + x + 2x + 3x = 0 Combine like terms: x + 2x = 3x 3 + 3x + 3x = 0 Combine like terms: 3x + 3x = 6x 3 + 6x = 0 Solving 3 + 6x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 6x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 6x = 0 + -3 6x = 0 + -3 Combine like terms: 0 + -3 = -3 6x = -3 Divide each side by '6'. x = -0.5 Simplifying x = -0.5
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