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Simplifying 3(2x + -8) = 2(2x + 7) + 2x + 10 Reorder the terms: 3(-8 + 2x) = 2(2x + 7) + 2x + 10 (-8 * 3 + 2x * 3) = 2(2x + 7) + 2x + 10 (-24 + 6x) = 2(2x + 7) + 2x + 10 Reorder the terms: -24 + 6x = 2(7 + 2x) + 2x + 10 -24 + 6x = (7 * 2 + 2x * 2) + 2x + 10 -24 + 6x = (14 + 4x) + 2x + 10 Reorder the terms: -24 + 6x = 14 + 10 + 4x + 2x Combine like terms: 14 + 10 = 24 -24 + 6x = 24 + 4x + 2x Combine like terms: 4x + 2x = 6x -24 + 6x = 24 + 6x Add '-6x' to each side of the equation. -24 + 6x + -6x = 24 + 6x + -6x Combine like terms: 6x + -6x = 0 -24 + 0 = 24 + 6x + -6x -24 = 24 + 6x + -6x Combine like terms: 6x + -6x = 0 -24 = 24 + 0 -24 = 24 Solving -24 = 24 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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