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Simplifying -2(-9x + 8) + 7(1 + -2x) = 3x + -3 + x + -12 Reorder the terms: -2(8 + -9x) + 7(1 + -2x) = 3x + -3 + x + -12 (8 * -2 + -9x * -2) + 7(1 + -2x) = 3x + -3 + x + -12 (-16 + 18x) + 7(1 + -2x) = 3x + -3 + x + -12 -16 + 18x + (1 * 7 + -2x * 7) = 3x + -3 + x + -12 -16 + 18x + (7 + -14x) = 3x + -3 + x + -12 Reorder the terms: -16 + 7 + 18x + -14x = 3x + -3 + x + -12 Combine like terms: -16 + 7 = -9 -9 + 18x + -14x = 3x + -3 + x + -12 Combine like terms: 18x + -14x = 4x -9 + 4x = 3x + -3 + x + -12 Reorder the terms: -9 + 4x = -3 + -12 + 3x + x Combine like terms: -3 + -12 = -15 -9 + 4x = -15 + 3x + x Combine like terms: 3x + x = 4x -9 + 4x = -15 + 4x Add '-4x' to each side of the equation. -9 + 4x + -4x = -15 + 4x + -4x Combine like terms: 4x + -4x = 0 -9 + 0 = -15 + 4x + -4x -9 = -15 + 4x + -4x Combine like terms: 4x + -4x = 0 -9 = -15 + 0 -9 = -15 Solving -9 = -15 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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