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Simplifying 3x + 17 = 9(x + -1) + 8 Reorder the terms: 17 + 3x = 9(x + -1) + 8 Reorder the terms: 17 + 3x = 9(-1 + x) + 8 17 + 3x = (-1 * 9 + x * 9) + 8 17 + 3x = (-9 + 9x) + 8 Reorder the terms: 17 + 3x = -9 + 8 + 9x Combine like terms: -9 + 8 = -1 17 + 3x = -1 + 9x Solving 17 + 3x = -1 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 17 + 3x + -9x = -1 + 9x + -9x Combine like terms: 3x + -9x = -6x 17 + -6x = -1 + 9x + -9x Combine like terms: 9x + -9x = 0 17 + -6x = -1 + 0 17 + -6x = -1 Add '-17' to each side of the equation. 17 + -17 + -6x = -1 + -17 Combine like terms: 17 + -17 = 0 0 + -6x = -1 + -17 -6x = -1 + -17 Combine like terms: -1 + -17 = -18 -6x = -18 Divide each side by '-6'. x = 3 Simplifying x = 3
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