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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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