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Simplifying 3x + 17 = 8x + -46 Reorder the terms: 17 + 3x = 8x + -46 Reorder the terms: 17 + 3x = -46 + 8x Solving 17 + 3x = -46 + 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 = -46 + 8x + -8x Combine like terms: 3x + -8x = -5x 17 + -5x = -46 + 8x + -8x Combine like terms: 8x + -8x = 0 17 + -5x = -46 + 0 17 + -5x = -46 Add '-17' to each side of the equation. 17 + -17 + -5x = -46 + -17 Combine like terms: 17 + -17 = 0 0 + -5x = -46 + -17 -5x = -46 + -17 Combine like terms: -46 + -17 = -63 -5x = -63 Divide each side by '-5'. x = 12.6 Simplifying x = 12.6
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