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Simplifying 3x + 14 = -74 + -8x Reorder the terms: 14 + 3x = -74 + -8x Solving 14 + 3x = -74 + -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. 14 + 3x + 8x = -74 + -8x + 8x Combine like terms: 3x + 8x = 11x 14 + 11x = -74 + -8x + 8x Combine like terms: -8x + 8x = 0 14 + 11x = -74 + 0 14 + 11x = -74 Add '-14' to each side of the equation. 14 + -14 + 11x = -74 + -14 Combine like terms: 14 + -14 = 0 0 + 11x = -74 + -14 11x = -74 + -14 Combine like terms: -74 + -14 = -88 11x = -88 Divide each side by '11'. x = -8 Simplifying x = -8
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