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Simplifying 8(X + 1) + 5 = 3x + 5(2 + X) Reorder the terms: 8(1 + X) + 5 = 3x + 5(2 + X) (1 * 8 + X * 8) + 5 = 3x + 5(2 + X) (8 + 8X) + 5 = 3x + 5(2 + X) Reorder the terms: 8 + 5 + 8X = 3x + 5(2 + X) Combine like terms: 8 + 5 = 13 13 + 8X = 3x + 5(2 + X) 13 + 8X = 3x + (2 * 5 + X * 5) 13 + 8X = 3x + (10 + 5X) Reorder the terms: 13 + 8X = 10 + 5X + 3x Solving 13 + 8X = 10 + 5X + 3x 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. 13 + 8X + -5X = 10 + 5X + -5X + 3x Combine like terms: 8X + -5X = 3X 13 + 3X = 10 + 5X + -5X + 3x Combine like terms: 5X + -5X = 0 13 + 3X = 10 + 0 + 3x 13 + 3X = 10 + 3x Add '-13' to each side of the equation. 13 + -13 + 3X = 10 + -13 + 3x Combine like terms: 13 + -13 = 0 0 + 3X = 10 + -13 + 3x 3X = 10 + -13 + 3x Combine like terms: 10 + -13 = -3 3X = -3 + 3x Divide each side by '3'. X = -1 + x Simplifying X = -1 + x
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