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Simplifying 6x + -2(x + 4) = 3(x + 2) + x + -5 Reorder the terms: 6x + -2(4 + x) = 3(x + 2) + x + -5 6x + (4 * -2 + x * -2) = 3(x + 2) + x + -5 6x + (-8 + -2x) = 3(x + 2) + x + -5 Reorder the terms: -8 + 6x + -2x = 3(x + 2) + x + -5 Combine like terms: 6x + -2x = 4x -8 + 4x = 3(x + 2) + x + -5 Reorder the terms: -8 + 4x = 3(2 + x) + x + -5 -8 + 4x = (2 * 3 + x * 3) + x + -5 -8 + 4x = (6 + 3x) + x + -5 Reorder the terms: -8 + 4x = 6 + -5 + 3x + x Combine like terms: 6 + -5 = 1 -8 + 4x = 1 + 3x + x Combine like terms: 3x + x = 4x -8 + 4x = 1 + 4x Add '-4x' to each side of the equation. -8 + 4x + -4x = 1 + 4x + -4x Combine like terms: 4x + -4x = 0 -8 + 0 = 1 + 4x + -4x -8 = 1 + 4x + -4x Combine like terms: 4x + -4x = 0 -8 = 1 + 0 -8 = 1 Solving -8 = 1 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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