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Simplifying -17 = 3(x + 6) + -8x Reorder the terms: -17 = 3(6 + x) + -8x -17 = (6 * 3 + x * 3) + -8x -17 = (18 + 3x) + -8x Combine like terms: 3x + -8x = -5x -17 = 18 + -5x Solving -17 = 18 + -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 + 5x = 18 + -5x + 5x Combine like terms: -5x + 5x = 0 -17 + 5x = 18 + 0 -17 + 5x = 18 Add '17' to each side of the equation. -17 + 17 + 5x = 18 + 17 Combine like terms: -17 + 17 = 0 0 + 5x = 18 + 17 5x = 18 + 17 Combine like terms: 18 + 17 = 35 5x = 35 Divide each side by '5'. x = 7 Simplifying x = 7
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