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Simplifying -3x + 17 = 8x + -12 Reorder the terms: 17 + -3x = 8x + -12 Reorder the terms: 17 + -3x = -12 + 8x Solving 17 + -3x = -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 + -3x + -8x = -12 + 8x + -8x Combine like terms: -3x + -8x = -11x 17 + -11x = -12 + 8x + -8x Combine like terms: 8x + -8x = 0 17 + -11x = -12 + 0 17 + -11x = -12 Add '-17' to each side of the equation. 17 + -17 + -11x = -12 + -17 Combine like terms: 17 + -17 = 0 0 + -11x = -12 + -17 -11x = -12 + -17 Combine like terms: -12 + -17 = -29 -11x = -29 Divide each side by '-11'. x = 2.636363636 Simplifying x = 2.636363636
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