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Simplifying 8x + -2 = 5(x + -1) + 3x + -7 Reorder the terms: -2 + 8x = 5(x + -1) + 3x + -7 Reorder the terms: -2 + 8x = 5(-1 + x) + 3x + -7 -2 + 8x = (-1 * 5 + x * 5) + 3x + -7 -2 + 8x = (-5 + 5x) + 3x + -7 Reorder the terms: -2 + 8x = -5 + -7 + 5x + 3x Combine like terms: -5 + -7 = -12 -2 + 8x = -12 + 5x + 3x Combine like terms: 5x + 3x = 8x -2 + 8x = -12 + 8x Add '-8x' to each side of the equation. -2 + 8x + -8x = -12 + 8x + -8x Combine like terms: 8x + -8x = 0 -2 + 0 = -12 + 8x + -8x -2 = -12 + 8x + -8x Combine like terms: 8x + -8x = 0 -2 = -12 + 0 -2 = -12 Solving -2 = -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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