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Simplifying 8x + -4x + -1(x + -7) + 9x + 6 = 12x + -7 Reorder the terms: 8x + -4x + -1(-7 + x) + 9x + 6 = 12x + -7 8x + -4x + (-7 * -1 + x * -1) + 9x + 6 = 12x + -7 8x + -4x + (7 + -1x) + 9x + 6 = 12x + -7 Reorder the terms: 7 + 6 + 8x + -4x + -1x + 9x = 12x + -7 Combine like terms: 7 + 6 = 13 13 + 8x + -4x + -1x + 9x = 12x + -7 Combine like terms: 8x + -4x = 4x 13 + 4x + -1x + 9x = 12x + -7 Combine like terms: 4x + -1x = 3x 13 + 3x + 9x = 12x + -7 Combine like terms: 3x + 9x = 12x 13 + 12x = 12x + -7 Reorder the terms: 13 + 12x = -7 + 12x Add '-12x' to each side of the equation. 13 + 12x + -12x = -7 + 12x + -12x Combine like terms: 12x + -12x = 0 13 + 0 = -7 + 12x + -12x 13 = -7 + 12x + -12x Combine like terms: 12x + -12x = 0 13 = -7 + 0 13 = -7 Solving 13 = -7 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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