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Simplifying (5x + 2) + -1(3x + 8) = 2x + 10 Reorder the terms: (2 + 5x) + -1(3x + 8) = 2x + 10 Remove parenthesis around (2 + 5x) 2 + 5x + -1(3x + 8) = 2x + 10 Reorder the terms: 2 + 5x + -1(8 + 3x) = 2x + 10 2 + 5x + (8 * -1 + 3x * -1) = 2x + 10 2 + 5x + (-8 + -3x) = 2x + 10 Reorder the terms: 2 + -8 + 5x + -3x = 2x + 10 Combine like terms: 2 + -8 = -6 -6 + 5x + -3x = 2x + 10 Combine like terms: 5x + -3x = 2x -6 + 2x = 2x + 10 Reorder the terms: -6 + 2x = 10 + 2x Add '-2x' to each side of the equation. -6 + 2x + -2x = 10 + 2x + -2x Combine like terms: 2x + -2x = 0 -6 + 0 = 10 + 2x + -2x -6 = 10 + 2x + -2x Combine like terms: 2x + -2x = 0 -6 = 10 + 0 -6 = 10 Solving -6 = 10 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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