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Simplifying 17 + 8x = -3x + 2(3x + 6) Reorder the terms: 17 + 8x = -3x + 2(6 + 3x) 17 + 8x = -3x + (6 * 2 + 3x * 2) 17 + 8x = -3x + (12 + 6x) Reorder the terms: 17 + 8x = 12 + -3x + 6x Combine like terms: -3x + 6x = 3x 17 + 8x = 12 + 3x Solving 17 + 8x = 12 + 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 + 8x + -3x = 12 + 3x + -3x Combine like terms: 8x + -3x = 5x 17 + 5x = 12 + 3x + -3x Combine like terms: 3x + -3x = 0 17 + 5x = 12 + 0 17 + 5x = 12 Add '-17' to each side of the equation. 17 + -17 + 5x = 12 + -17 Combine like terms: 17 + -17 = 0 0 + 5x = 12 + -17 5x = 12 + -17 Combine like terms: 12 + -17 = -5 5x = -5 Divide each side by '5'. x = -1 Simplifying x = -1
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