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Simplifying -5x + 8 = 3x + -2 + 14 Reorder the terms: 8 + -5x = 3x + -2 + 14 Reorder the terms: 8 + -5x = -2 + 14 + 3x Combine like terms: -2 + 14 = 12 8 + -5x = 12 + 3x Solving 8 + -5x = 12 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 8 + -5x + -3x = 12 + 3x + -3x Combine like terms: -5x + -3x = -8x 8 + -8x = 12 + 3x + -3x Combine like terms: 3x + -3x = 0 8 + -8x = 12 + 0 8 + -8x = 12 Add '-8' to each side of the equation. 8 + -8 + -8x = 12 + -8 Combine like terms: 8 + -8 = 0 0 + -8x = 12 + -8 -8x = 12 + -8 Combine like terms: 12 + -8 = 4 -8x = 4 Divide each side by '-8'. x = -0.5 Simplifying x = -0.5
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