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Simplifying 3x + 14 + 2x + 19 + 6x + 12 = 0 Reorder the terms: 14 + 19 + 12 + 3x + 2x + 6x = 0 Combine like terms: 14 + 19 = 33 33 + 12 + 3x + 2x + 6x = 0 Combine like terms: 33 + 12 = 45 45 + 3x + 2x + 6x = 0 Combine like terms: 3x + 2x = 5x 45 + 5x + 6x = 0 Combine like terms: 5x + 6x = 11x 45 + 11x = 0 Solving 45 + 11x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-45' to each side of the equation. 45 + -45 + 11x = 0 + -45 Combine like terms: 45 + -45 = 0 0 + 11x = 0 + -45 11x = 0 + -45 Combine like terms: 0 + -45 = -45 11x = -45 Divide each side by '11'. x = -4.090909091 Simplifying x = -4.090909091
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