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Simplifying x + 17 = 2(3x + 1) Reorder the terms: 17 + x = 2(3x + 1) Reorder the terms: 17 + x = 2(1 + 3x) 17 + x = (1 * 2 + 3x * 2) 17 + x = (2 + 6x) Solving 17 + x = 2 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 17 + x + -6x = 2 + 6x + -6x Combine like terms: x + -6x = -5x 17 + -5x = 2 + 6x + -6x Combine like terms: 6x + -6x = 0 17 + -5x = 2 + 0 17 + -5x = 2 Add '-17' to each side of the equation. 17 + -17 + -5x = 2 + -17 Combine like terms: 17 + -17 = 0 0 + -5x = 2 + -17 -5x = 2 + -17 Combine like terms: 2 + -17 = -15 -5x = -15 Divide each side by '-5'. x = 3 Simplifying x = 3
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