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Simplifying (3x + 6) + (2x + 1) = 5(x + -1) + 9 Reorder the terms: (6 + 3x) + (2x + 1) = 5(x + -1) + 9 Remove parenthesis around (6 + 3x) 6 + 3x + (2x + 1) = 5(x + -1) + 9 Reorder the terms: 6 + 3x + (1 + 2x) = 5(x + -1) + 9 Remove parenthesis around (1 + 2x) 6 + 3x + 1 + 2x = 5(x + -1) + 9 Reorder the terms: 6 + 1 + 3x + 2x = 5(x + -1) + 9 Combine like terms: 6 + 1 = 7 7 + 3x + 2x = 5(x + -1) + 9 Combine like terms: 3x + 2x = 5x 7 + 5x = 5(x + -1) + 9 Reorder the terms: 7 + 5x = 5(-1 + x) + 9 7 + 5x = (-1 * 5 + x * 5) + 9 7 + 5x = (-5 + 5x) + 9 Reorder the terms: 7 + 5x = -5 + 9 + 5x Combine like terms: -5 + 9 = 4 7 + 5x = 4 + 5x Add '-5x' to each side of the equation. 7 + 5x + -5x = 4 + 5x + -5x Combine like terms: 5x + -5x = 0 7 + 0 = 4 + 5x + -5x 7 = 4 + 5x + -5x Combine like terms: 5x + -5x = 0 7 = 4 + 0 7 = 4 Solving 7 = 4 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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