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Simplifying -12x + 34 = -11x + -14 + 3x Reorder the terms: 34 + -12x = -11x + -14 + 3x Reorder the terms: 34 + -12x = -14 + -11x + 3x Combine like terms: -11x + 3x = -8x 34 + -12x = -14 + -8x Solving 34 + -12x = -14 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. 34 + -12x + 8x = -14 + -8x + 8x Combine like terms: -12x + 8x = -4x 34 + -4x = -14 + -8x + 8x Combine like terms: -8x + 8x = 0 34 + -4x = -14 + 0 34 + -4x = -14 Add '-34' to each side of the equation. 34 + -34 + -4x = -14 + -34 Combine like terms: 34 + -34 = 0 0 + -4x = -14 + -34 -4x = -14 + -34 Combine like terms: -14 + -34 = -48 -4x = -48 Divide each side by '-4'. x = 12 Simplifying x = 12
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