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Simplifying 12x + -22 + x + 14 = 6x + -51 Reorder the terms: -22 + 14 + 12x + x = 6x + -51 Combine like terms: -22 + 14 = -8 -8 + 12x + x = 6x + -51 Combine like terms: 12x + x = 13x -8 + 13x = 6x + -51 Reorder the terms: -8 + 13x = -51 + 6x Solving -8 + 13x = -51 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -8 + 13x + -6x = -51 + 6x + -6x Combine like terms: 13x + -6x = 7x -8 + 7x = -51 + 6x + -6x Combine like terms: 6x + -6x = 0 -8 + 7x = -51 + 0 -8 + 7x = -51 Add '8' to each side of the equation. -8 + 8 + 7x = -51 + 8 Combine like terms: -8 + 8 = 0 0 + 7x = -51 + 8 7x = -51 + 8 Combine like terms: -51 + 8 = -43 7x = -43 Divide each side by '7'. x = -6.142857143 Simplifying x = -6.142857143
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