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Simplifying 9(x + 1) + -1x = 5x + 2 Reorder the terms: 9(1 + x) + -1x = 5x + 2 (1 * 9 + x * 9) + -1x = 5x + 2 (9 + 9x) + -1x = 5x + 2 Combine like terms: 9x + -1x = 8x 9 + 8x = 5x + 2 Reorder the terms: 9 + 8x = 2 + 5x Solving 9 + 8x = 2 + 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. 9 + 8x + -5x = 2 + 5x + -5x Combine like terms: 8x + -5x = 3x 9 + 3x = 2 + 5x + -5x Combine like terms: 5x + -5x = 0 9 + 3x = 2 + 0 9 + 3x = 2 Add '-9' to each side of the equation. 9 + -9 + 3x = 2 + -9 Combine like terms: 9 + -9 = 0 0 + 3x = 2 + -9 3x = 2 + -9 Combine like terms: 2 + -9 = -7 3x = -7 Divide each side by '3'. x = -2.333333333 Simplifying x = -2.333333333
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