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Simplifying 8(x + -5) = 6(x + 2) + 2x Reorder the terms: 8(-5 + x) = 6(x + 2) + 2x (-5 * 8 + x * 8) = 6(x + 2) + 2x (-40 + 8x) = 6(x + 2) + 2x Reorder the terms: -40 + 8x = 6(2 + x) + 2x -40 + 8x = (2 * 6 + x * 6) + 2x -40 + 8x = (12 + 6x) + 2x Combine like terms: 6x + 2x = 8x -40 + 8x = 12 + 8x Add '-8x' to each side of the equation. -40 + 8x + -8x = 12 + 8x + -8x Combine like terms: 8x + -8x = 0 -40 + 0 = 12 + 8x + -8x -40 = 12 + 8x + -8x Combine like terms: 8x + -8x = 0 -40 = 12 + 0 -40 = 12 Solving -40 = 12 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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