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Simplifying 9(x + 1) + 8(x + 1) = 5x + -5 Reorder the terms: 9(1 + x) + 8(x + 1) = 5x + -5 (1 * 9 + x * 9) + 8(x + 1) = 5x + -5 (9 + 9x) + 8(x + 1) = 5x + -5 Reorder the terms: 9 + 9x + 8(1 + x) = 5x + -5 9 + 9x + (1 * 8 + x * 8) = 5x + -5 9 + 9x + (8 + 8x) = 5x + -5 Reorder the terms: 9 + 8 + 9x + 8x = 5x + -5 Combine like terms: 9 + 8 = 17 17 + 9x + 8x = 5x + -5 Combine like terms: 9x + 8x = 17x 17 + 17x = 5x + -5 Reorder the terms: 17 + 17x = -5 + 5x Solving 17 + 17x = -5 + 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 + 17x + -5x = -5 + 5x + -5x Combine like terms: 17x + -5x = 12x 17 + 12x = -5 + 5x + -5x Combine like terms: 5x + -5x = 0 17 + 12x = -5 + 0 17 + 12x = -5 Add '-17' to each side of the equation. 17 + -17 + 12x = -5 + -17 Combine like terms: 17 + -17 = 0 0 + 12x = -5 + -17 12x = -5 + -17 Combine like terms: -5 + -17 = -22 12x = -22 Divide each side by '12'. x = -1.833333333 Simplifying x = -1.833333333
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