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Simplifying x + 5x + -21 = 2(x + -8) + 4x Reorder the terms: -21 + x + 5x = 2(x + -8) + 4x Combine like terms: x + 5x = 6x -21 + 6x = 2(x + -8) + 4x Reorder the terms: -21 + 6x = 2(-8 + x) + 4x -21 + 6x = (-8 * 2 + x * 2) + 4x -21 + 6x = (-16 + 2x) + 4x Combine like terms: 2x + 4x = 6x -21 + 6x = -16 + 6x Add '-6x' to each side of the equation. -21 + 6x + -6x = -16 + 6x + -6x Combine like terms: 6x + -6x = 0 -21 + 0 = -16 + 6x + -6x -21 = -16 + 6x + -6x Combine like terms: 6x + -6x = 0 -21 = -16 + 0 -21 = -16 Solving -21 = -16 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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