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Simplifying 8(x + 2) + 2 = 2x + 6(5 + x) Reorder the terms: 8(2 + x) + 2 = 2x + 6(5 + x) (2 * 8 + x * 8) + 2 = 2x + 6(5 + x) (16 + 8x) + 2 = 2x + 6(5 + x) Reorder the terms: 16 + 2 + 8x = 2x + 6(5 + x) Combine like terms: 16 + 2 = 18 18 + 8x = 2x + 6(5 + x) 18 + 8x = 2x + (5 * 6 + x * 6) 18 + 8x = 2x + (30 + 6x) Reorder the terms: 18 + 8x = 30 + 2x + 6x Combine like terms: 2x + 6x = 8x 18 + 8x = 30 + 8x Add '-8x' to each side of the equation. 18 + 8x + -8x = 30 + 8x + -8x Combine like terms: 8x + -8x = 0 18 + 0 = 30 + 8x + -8x 18 = 30 + 8x + -8x Combine like terms: 8x + -8x = 0 18 = 30 + 0 18 = 30 Solving 18 = 30 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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