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