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Simplifying 8(x + 3) = 7(x + 6) + x Reorder the terms: 8(3 + x) = 7(x + 6) + x (3 * 8 + x * 8) = 7(x + 6) + x (24 + 8x) = 7(x + 6) + x Reorder the terms: 24 + 8x = 7(6 + x) + x 24 + 8x = (6 * 7 + x * 7) + x 24 + 8x = (42 + 7x) + x Combine like terms: 7x + x = 8x 24 + 8x = 42 + 8x Add '-8x' to each side of the equation. 24 + 8x + -8x = 42 + 8x + -8x Combine like terms: 8x + -8x = 0 24 + 0 = 42 + 8x + -8x 24 = 42 + 8x + -8x Combine like terms: 8x + -8x = 0 24 = 42 + 0 24 = 42 Solving 24 = 42 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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