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Simplifying 30 + 3x + -8 = 12x + -14 + -3x Reorder the terms: 30 + -8 + 3x = 12x + -14 + -3x Combine like terms: 30 + -8 = 22 22 + 3x = 12x + -14 + -3x Reorder the terms: 22 + 3x = -14 + 12x + -3x Combine like terms: 12x + -3x = 9x 22 + 3x = -14 + 9x Solving 22 + 3x = -14 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 22 + 3x + -9x = -14 + 9x + -9x Combine like terms: 3x + -9x = -6x 22 + -6x = -14 + 9x + -9x Combine like terms: 9x + -9x = 0 22 + -6x = -14 + 0 22 + -6x = -14 Add '-22' to each side of the equation. 22 + -22 + -6x = -14 + -22 Combine like terms: 22 + -22 = 0 0 + -6x = -14 + -22 -6x = -14 + -22 Combine like terms: -14 + -22 = -36 -6x = -36 Divide each side by '-6'. x = 6 Simplifying x = 6
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