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Simplifying (3x + -2) + (2x + 4) + (x + 10) = 0 Reorder the terms: (-2 + 3x) + (2x + 4) + (x + 10) = 0 Remove parenthesis around (-2 + 3x) -2 + 3x + (2x + 4) + (x + 10) = 0 Reorder the terms: -2 + 3x + (4 + 2x) + (x + 10) = 0 Remove parenthesis around (4 + 2x) -2 + 3x + 4 + 2x + (x + 10) = 0 Reorder the terms: -2 + 3x + 4 + 2x + (10 + x) = 0 Remove parenthesis around (10 + x) -2 + 3x + 4 + 2x + 10 + x = 0 Reorder the terms: -2 + 4 + 10 + 3x + 2x + x = 0 Combine like terms: -2 + 4 = 2 2 + 10 + 3x + 2x + x = 0 Combine like terms: 2 + 10 = 12 12 + 3x + 2x + x = 0 Combine like terms: 3x + 2x = 5x 12 + 5x + x = 0 Combine like terms: 5x + x = 6x 12 + 6x = 0 Solving 12 + 6x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + 6x = 0 + -12 Combine like terms: 12 + -12 = 0 0 + 6x = 0 + -12 6x = 0 + -12 Combine like terms: 0 + -12 = -12 6x = -12 Divide each side by '6'. x = -2 Simplifying x = -2
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