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Simplifying -3x + -14 = 5x + 34 Reorder the terms: -14 + -3x = 5x + 34 Reorder the terms: -14 + -3x = 34 + 5x Solving -14 + -3x = 34 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -14 + -3x + -5x = 34 + 5x + -5x Combine like terms: -3x + -5x = -8x -14 + -8x = 34 + 5x + -5x Combine like terms: 5x + -5x = 0 -14 + -8x = 34 + 0 -14 + -8x = 34 Add '14' to each side of the equation. -14 + 14 + -8x = 34 + 14 Combine like terms: -14 + 14 = 0 0 + -8x = 34 + 14 -8x = 34 + 14 Combine like terms: 34 + 14 = 48 -8x = 48 Divide each side by '-8'. x = -6 Simplifying x = -6
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