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Simplifying (3x + -10) + 4x + 2x + (3x + 22) = 0 Reorder the terms: (-10 + 3x) + 4x + 2x + (3x + 22) = 0 Remove parenthesis around (-10 + 3x) -10 + 3x + 4x + 2x + (3x + 22) = 0 Reorder the terms: -10 + 3x + 4x + 2x + (22 + 3x) = 0 Remove parenthesis around (22 + 3x) -10 + 3x + 4x + 2x + 22 + 3x = 0 Reorder the terms: -10 + 22 + 3x + 4x + 2x + 3x = 0 Combine like terms: -10 + 22 = 12 12 + 3x + 4x + 2x + 3x = 0 Combine like terms: 3x + 4x = 7x 12 + 7x + 2x + 3x = 0 Combine like terms: 7x + 2x = 9x 12 + 9x + 3x = 0 Combine like terms: 9x + 3x = 12x 12 + 12x = 0 Solving 12 + 12x = 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 + 12x = 0 + -12 Combine like terms: 12 + -12 = 0 0 + 12x = 0 + -12 12x = 0 + -12 Combine like terms: 0 + -12 = -12 12x = -12 Divide each side by '12'. x = -1 Simplifying x = -1
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