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Simplifying 6x + -14 + 2x = 5x + 12 Reorder the terms: -14 + 6x + 2x = 5x + 12 Combine like terms: 6x + 2x = 8x -14 + 8x = 5x + 12 Reorder the terms: -14 + 8x = 12 + 5x Solving -14 + 8x = 12 + 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 + 8x + -5x = 12 + 5x + -5x Combine like terms: 8x + -5x = 3x -14 + 3x = 12 + 5x + -5x Combine like terms: 5x + -5x = 0 -14 + 3x = 12 + 0 -14 + 3x = 12 Add '14' to each side of the equation. -14 + 14 + 3x = 12 + 14 Combine like terms: -14 + 14 = 0 0 + 3x = 12 + 14 3x = 12 + 14 Combine like terms: 12 + 14 = 26 3x = 26 Divide each side by '3'. x = 8.666666667 Simplifying x = 8.666666667
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