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Simplifying 5x + -17 = 8x + 12 Reorder the terms: -17 + 5x = 8x + 12 Reorder the terms: -17 + 5x = 12 + 8x Solving -17 + 5x = 12 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -17 + 5x + -8x = 12 + 8x + -8x Combine like terms: 5x + -8x = -3x -17 + -3x = 12 + 8x + -8x Combine like terms: 8x + -8x = 0 -17 + -3x = 12 + 0 -17 + -3x = 12 Add '17' to each side of the equation. -17 + 17 + -3x = 12 + 17 Combine like terms: -17 + 17 = 0 0 + -3x = 12 + 17 -3x = 12 + 17 Combine like terms: 12 + 17 = 29 -3x = 29 Divide each side by '-3'. x = -9.666666667 Simplifying x = -9.666666667
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