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Simplifying (3x + 5) + (2x + 1) = 5(x + -1) + 10 Reorder the terms: (5 + 3x) + (2x + 1) = 5(x + -1) + 10 Remove parenthesis around (5 + 3x) 5 + 3x + (2x + 1) = 5(x + -1) + 10 Reorder the terms: 5 + 3x + (1 + 2x) = 5(x + -1) + 10 Remove parenthesis around (1 + 2x) 5 + 3x + 1 + 2x = 5(x + -1) + 10 Reorder the terms: 5 + 1 + 3x + 2x = 5(x + -1) + 10 Combine like terms: 5 + 1 = 6 6 + 3x + 2x = 5(x + -1) + 10 Combine like terms: 3x + 2x = 5x 6 + 5x = 5(x + -1) + 10 Reorder the terms: 6 + 5x = 5(-1 + x) + 10 6 + 5x = (-1 * 5 + x * 5) + 10 6 + 5x = (-5 + 5x) + 10 Reorder the terms: 6 + 5x = -5 + 10 + 5x Combine like terms: -5 + 10 = 5 6 + 5x = 5 + 5x Add '-5x' to each side of the equation. 6 + 5x + -5x = 5 + 5x + -5x Combine like terms: 5x + -5x = 0 6 + 0 = 5 + 5x + -5x 6 = 5 + 5x + -5x Combine like terms: 5x + -5x = 0 6 = 5 + 0 6 = 5 Solving 6 = 5 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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