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Simplifying 3x + -14 = 8x + 46 Reorder the terms: -14 + 3x = 8x + 46 Reorder the terms: -14 + 3x = 46 + 8x Solving -14 + 3x = 46 + 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 = 46 + 8x + -8x Combine like terms: 3x + -8x = -5x -14 + -5x = 46 + 8x + -8x Combine like terms: 8x + -8x = 0 -14 + -5x = 46 + 0 -14 + -5x = 46 Add '14' to each side of the equation. -14 + 14 + -5x = 46 + 14 Combine like terms: -14 + 14 = 0 0 + -5x = 46 + 14 -5x = 46 + 14 Combine like terms: 46 + 14 = 60 -5x = 60 Divide each side by '-5'. x = -12 Simplifying x = -12
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