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Simplifying 8(x + 1) + -1 = 2x + 6(1 + x) Reorder the terms: 8(1 + x) + -1 = 2x + 6(1 + x) (1 * 8 + x * 8) + -1 = 2x + 6(1 + x) (8 + 8x) + -1 = 2x + 6(1 + x) Reorder the terms: 8 + -1 + 8x = 2x + 6(1 + x) Combine like terms: 8 + -1 = 7 7 + 8x = 2x + 6(1 + x) 7 + 8x = 2x + (1 * 6 + x * 6) 7 + 8x = 2x + (6 + 6x) Reorder the terms: 7 + 8x = 6 + 2x + 6x Combine like terms: 2x + 6x = 8x 7 + 8x = 6 + 8x Add '-8x' to each side of the equation. 7 + 8x + -8x = 6 + 8x + -8x Combine like terms: 8x + -8x = 0 7 + 0 = 6 + 8x + -8x 7 = 6 + 8x + -8x Combine like terms: 8x + -8x = 0 7 = 6 + 0 7 = 6 Solving 7 = 6 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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