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Simplifying 17 + -3x = 5x + 1 Reorder the terms: 17 + -3x = 1 + 5x Solving 17 + -3x = 1 + 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. 17 + -3x + -5x = 1 + 5x + -5x Combine like terms: -3x + -5x = -8x 17 + -8x = 1 + 5x + -5x Combine like terms: 5x + -5x = 0 17 + -8x = 1 + 0 17 + -8x = 1 Add '-17' to each side of the equation. 17 + -17 + -8x = 1 + -17 Combine like terms: 17 + -17 = 0 0 + -8x = 1 + -17 -8x = 1 + -17 Combine like terms: 1 + -17 = -16 -8x = -16 Divide each side by '-8'. x = 2 Simplifying x = 2
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