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Simplifying 8(x + 1) + 2 = 5x + 3(4 + x) Reorder the terms: 8(1 + x) + 2 = 5x + 3(4 + x) (1 * 8 + x * 8) + 2 = 5x + 3(4 + x) (8 + 8x) + 2 = 5x + 3(4 + x) Reorder the terms: 8 + 2 + 8x = 5x + 3(4 + x) Combine like terms: 8 + 2 = 10 10 + 8x = 5x + 3(4 + x) 10 + 8x = 5x + (4 * 3 + x * 3) 10 + 8x = 5x + (12 + 3x) Reorder the terms: 10 + 8x = 12 + 5x + 3x Combine like terms: 5x + 3x = 8x 10 + 8x = 12 + 8x Add '-8x' to each side of the equation. 10 + 8x + -8x = 12 + 8x + -8x Combine like terms: 8x + -8x = 0 10 + 0 = 12 + 8x + -8x 10 = 12 + 8x + -8x Combine like terms: 8x + -8x = 0 10 = 12 + 0 10 = 12 Solving 10 = 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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