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Simplifying 9(x + 2) + 8(x + 2) = 5x + -5 Reorder the terms: 9(2 + x) + 8(x + 2) = 5x + -5 (2 * 9 + x * 9) + 8(x + 2) = 5x + -5 (18 + 9x) + 8(x + 2) = 5x + -5 Reorder the terms: 18 + 9x + 8(2 + x) = 5x + -5 18 + 9x + (2 * 8 + x * 8) = 5x + -5 18 + 9x + (16 + 8x) = 5x + -5 Reorder the terms: 18 + 16 + 9x + 8x = 5x + -5 Combine like terms: 18 + 16 = 34 34 + 9x + 8x = 5x + -5 Combine like terms: 9x + 8x = 17x 34 + 17x = 5x + -5 Reorder the terms: 34 + 17x = -5 + 5x Solving 34 + 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. 34 + 17x + -5x = -5 + 5x + -5x Combine like terms: 17x + -5x = 12x 34 + 12x = -5 + 5x + -5x Combine like terms: 5x + -5x = 0 34 + 12x = -5 + 0 34 + 12x = -5 Add '-34' to each side of the equation. 34 + -34 + 12x = -5 + -34 Combine like terms: 34 + -34 = 0 0 + 12x = -5 + -34 12x = -5 + -34 Combine like terms: -5 + -34 = -39 12x = -39 Divide each side by '12'. x = -3.25 Simplifying x = -3.25
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