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Simplifying 9(x + -1) = 8(x + 1) Reorder the terms: 9(-1 + x) = 8(x + 1) (-1 * 9 + x * 9) = 8(x + 1) (-9 + 9x) = 8(x + 1) Reorder the terms: -9 + 9x = 8(1 + x) -9 + 9x = (1 * 8 + x * 8) -9 + 9x = (8 + 8x) Solving -9 + 9x = 8 + 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. -9 + 9x + -8x = 8 + 8x + -8x Combine like terms: 9x + -8x = 1x -9 + 1x = 8 + 8x + -8x Combine like terms: 8x + -8x = 0 -9 + 1x = 8 + 0 -9 + 1x = 8 Add '9' to each side of the equation. -9 + 9 + 1x = 8 + 9 Combine like terms: -9 + 9 = 0 0 + 1x = 8 + 9 1x = 8 + 9 Combine like terms: 8 + 9 = 17 1x = 17 Divide each side by '1'. x = 17 Simplifying x = 17
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