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Simplifying 8(x + 1) + 7 = 3x + 5(4 + x) Reorder the terms: 8(1 + x) + 7 = 3x + 5(4 + x) (1 * 8 + x * 8) + 7 = 3x + 5(4 + x) (8 + 8x) + 7 = 3x + 5(4 + x) Reorder the terms: 8 + 7 + 8x = 3x + 5(4 + x) Combine like terms: 8 + 7 = 15 15 + 8x = 3x + 5(4 + x) 15 + 8x = 3x + (4 * 5 + x * 5) 15 + 8x = 3x + (20 + 5x) Reorder the terms: 15 + 8x = 20 + 3x + 5x Combine like terms: 3x + 5x = 8x 15 + 8x = 20 + 8x Add '-8x' to each side of the equation. 15 + 8x + -8x = 20 + 8x + -8x Combine like terms: 8x + -8x = 0 15 + 0 = 20 + 8x + -8x 15 = 20 + 8x + -8x Combine like terms: 8x + -8x = 0 15 = 20 + 0 15 = 20 Solving 15 = 20 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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