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Simplifying 8(x + 1) + 5 = 2x + 6(2 + x) Reorder the terms: 8(1 + x) + 5 = 2x + 6(2 + x) (1 * 8 + x * 8) + 5 = 2x + 6(2 + x) (8 + 8x) + 5 = 2x + 6(2 + x) Reorder the terms: 8 + 5 + 8x = 2x + 6(2 + x) Combine like terms: 8 + 5 = 13 13 + 8x = 2x + 6(2 + x) 13 + 8x = 2x + (2 * 6 + x * 6) 13 + 8x = 2x + (12 + 6x) Reorder the terms: 13 + 8x = 12 + 2x + 6x Combine like terms: 2x + 6x = 8x 13 + 8x = 12 + 8x Add '-8x' to each side of the equation. 13 + 8x + -8x = 12 + 8x + -8x Combine like terms: 8x + -8x = 0 13 + 0 = 12 + 8x + -8x 13 = 12 + 8x + -8x Combine like terms: 8x + -8x = 0 13 = 12 + 0 13 = 12 Solving 13 = 12 Couldn't find a variable to solve for. This equation is invalid, the left and right sides are not equal, therefore there is no solution.
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