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Simplifying 8(x + -2) = 7(x + -1) + -12 + x Reorder the terms: 8(-2 + x) = 7(x + -1) + -12 + x (-2 * 8 + x * 8) = 7(x + -1) + -12 + x (-16 + 8x) = 7(x + -1) + -12 + x Reorder the terms: -16 + 8x = 7(-1 + x) + -12 + x -16 + 8x = (-1 * 7 + x * 7) + -12 + x -16 + 8x = (-7 + 7x) + -12 + x Reorder the terms: -16 + 8x = -7 + -12 + 7x + x Combine like terms: -7 + -12 = -19 -16 + 8x = -19 + 7x + x Combine like terms: 7x + x = 8x -16 + 8x = -19 + 8x Add '-8x' to each side of the equation. -16 + 8x + -8x = -19 + 8x + -8x Combine like terms: 8x + -8x = 0 -16 + 0 = -19 + 8x + -8x -16 = -19 + 8x + -8x Combine like terms: 8x + -8x = 0 -16 = -19 + 0 -16 = -19 Solving -16 = -19 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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