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Simplifying 3x + 14 = -106 + -12x Reorder the terms: 14 + 3x = -106 + -12x Solving 14 + 3x = -106 + -12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12x' to each side of the equation. 14 + 3x + 12x = -106 + -12x + 12x Combine like terms: 3x + 12x = 15x 14 + 15x = -106 + -12x + 12x Combine like terms: -12x + 12x = 0 14 + 15x = -106 + 0 14 + 15x = -106 Add '-14' to each side of the equation. 14 + -14 + 15x = -106 + -14 Combine like terms: 14 + -14 = 0 0 + 15x = -106 + -14 15x = -106 + -14 Combine like terms: -106 + -14 = -120 15x = -120 Divide each side by '15'. x = -8 Simplifying x = -8
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