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Simplifying 12(x + -1) = 3(4x + 9) + -15 Reorder the terms: 12(-1 + x) = 3(4x + 9) + -15 (-1 * 12 + x * 12) = 3(4x + 9) + -15 (-12 + 12x) = 3(4x + 9) + -15 Reorder the terms: -12 + 12x = 3(9 + 4x) + -15 -12 + 12x = (9 * 3 + 4x * 3) + -15 -12 + 12x = (27 + 12x) + -15 Reorder the terms: -12 + 12x = 27 + -15 + 12x Combine like terms: 27 + -15 = 12 -12 + 12x = 12 + 12x Add '-12x' to each side of the equation. -12 + 12x + -12x = 12 + 12x + -12x Combine like terms: 12x + -12x = 0 -12 + 0 = 12 + 12x + -12x -12 = 12 + 12x + -12x Combine like terms: 12x + -12x = 0 -12 = 12 + 0 -12 = 12 Solving -12 = 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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