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Simplifying 6(x + 4) + 1 = 2x + 4(5 + x) Reorder the terms: 6(4 + x) + 1 = 2x + 4(5 + x) (4 * 6 + x * 6) + 1 = 2x + 4(5 + x) (24 + 6x) + 1 = 2x + 4(5 + x) Reorder the terms: 24 + 1 + 6x = 2x + 4(5 + x) Combine like terms: 24 + 1 = 25 25 + 6x = 2x + 4(5 + x) 25 + 6x = 2x + (5 * 4 + x * 4) 25 + 6x = 2x + (20 + 4x) Reorder the terms: 25 + 6x = 20 + 2x + 4x Combine like terms: 2x + 4x = 6x 25 + 6x = 20 + 6x Add '-6x' to each side of the equation. 25 + 6x + -6x = 20 + 6x + -6x Combine like terms: 6x + -6x = 0 25 + 0 = 20 + 6x + -6x 25 = 20 + 6x + -6x Combine like terms: 6x + -6x = 0 25 = 20 + 0 25 = 20 Solving 25 = 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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