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Simplifying 3x + 14 = -34 + -9x Reorder the terms: 14 + 3x = -34 + -9x Solving 14 + 3x = -34 + -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. 14 + 3x + 9x = -34 + -9x + 9x Combine like terms: 3x + 9x = 12x 14 + 12x = -34 + -9x + 9x Combine like terms: -9x + 9x = 0 14 + 12x = -34 + 0 14 + 12x = -34 Add '-14' to each side of the equation. 14 + -14 + 12x = -34 + -14 Combine like terms: 14 + -14 = 0 0 + 12x = -34 + -14 12x = -34 + -14 Combine like terms: -34 + -14 = -48 12x = -48 Divide each side by '12'. x = -4 Simplifying x = -4
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