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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 = -6x 14 + -6x = -34 + 9x + -9x Combine like terms: 9x + -9x = 0 14 + -6x = -34 + 0 14 + -6x = -34 Add '-14' to each side of the equation. 14 + -14 + -6x = -34 + -14 Combine like terms: 14 + -14 = 0 0 + -6x = -34 + -14 -6x = -34 + -14 Combine like terms: -34 + -14 = -48 -6x = -48 Divide each side by '-6'. x = 8 Simplifying x = 8
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