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Simplifying 6(x + 1) + 5 = 3x + 3(5 + x) Reorder the terms: 6(1 + x) + 5 = 3x + 3(5 + x) (1 * 6 + x * 6) + 5 = 3x + 3(5 + x) (6 + 6x) + 5 = 3x + 3(5 + x) Reorder the terms: 6 + 5 + 6x = 3x + 3(5 + x) Combine like terms: 6 + 5 = 11 11 + 6x = 3x + 3(5 + x) 11 + 6x = 3x + (5 * 3 + x * 3) 11 + 6x = 3x + (15 + 3x) Reorder the terms: 11 + 6x = 15 + 3x + 3x Combine like terms: 3x + 3x = 6x 11 + 6x = 15 + 6x Add '-6x' to each side of the equation. 11 + 6x + -6x = 15 + 6x + -6x Combine like terms: 6x + -6x = 0 11 + 0 = 15 + 6x + -6x 11 = 15 + 6x + -6x Combine like terms: 6x + -6x = 0 11 = 15 + 0 11 = 15 Solving 11 = 15 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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