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