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Simplifying -2 + 8x = 5x + 12 Reorder the terms: -2 + 8x = 12 + 5x Solving -2 + 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. -2 + 8x + -5x = 12 + 5x + -5x Combine like terms: 8x + -5x = 3x -2 + 3x = 12 + 5x + -5x Combine like terms: 5x + -5x = 0 -2 + 3x = 12 + 0 -2 + 3x = 12 Add '2' to each side of the equation. -2 + 2 + 3x = 12 + 2 Combine like terms: -2 + 2 = 0 0 + 3x = 12 + 2 3x = 12 + 2 Combine like terms: 12 + 2 = 14 3x = 14 Divide each side by '3'. x = 4.666666667 Simplifying x = 4.666666667
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