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Simplifying x + 17 = 3x + 1 Reorder the terms: 17 + x = 3x + 1 Reorder the terms: 17 + x = 1 + 3x Solving 17 + x = 1 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 17 + x + -3x = 1 + 3x + -3x Combine like terms: x + -3x = -2x 17 + -2x = 1 + 3x + -3x Combine like terms: 3x + -3x = 0 17 + -2x = 1 + 0 17 + -2x = 1 Add '-17' to each side of the equation. 17 + -17 + -2x = 1 + -17 Combine like terms: 17 + -17 = 0 0 + -2x = 1 + -17 -2x = 1 + -17 Combine like terms: 1 + -17 = -16 -2x = -16 Divide each side by '-2'. x = 8 Simplifying x = 8
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