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Simplifying 6(x + 1) + 1 = 4x + 2(4 + x) Reorder the terms: 6(1 + x) + 1 = 4x + 2(4 + x) (1 * 6 + x * 6) + 1 = 4x + 2(4 + x) (6 + 6x) + 1 = 4x + 2(4 + x) Reorder the terms: 6 + 1 + 6x = 4x + 2(4 + x) Combine like terms: 6 + 1 = 7 7 + 6x = 4x + 2(4 + x) 7 + 6x = 4x + (4 * 2 + x * 2) 7 + 6x = 4x + (8 + 2x) Reorder the terms: 7 + 6x = 8 + 4x + 2x Combine like terms: 4x + 2x = 6x 7 + 6x = 8 + 6x Add '-6x' to each side of the equation. 7 + 6x + -6x = 8 + 6x + -6x Combine like terms: 6x + -6x = 0 7 + 0 = 8 + 6x + -6x 7 = 8 + 6x + -6x Combine like terms: 6x + -6x = 0 7 = 8 + 0 7 = 8 Solving 7 = 8 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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