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Simplifying 12(x + 1) = 4(3x + -9) + -24 Reorder the terms: 12(1 + x) = 4(3x + -9) + -24 (1 * 12 + x * 12) = 4(3x + -9) + -24 (12 + 12x) = 4(3x + -9) + -24 Reorder the terms: 12 + 12x = 4(-9 + 3x) + -24 12 + 12x = (-9 * 4 + 3x * 4) + -24 12 + 12x = (-36 + 12x) + -24 Reorder the terms: 12 + 12x = -36 + -24 + 12x Combine like terms: -36 + -24 = -60 12 + 12x = -60 + 12x Add '-12x' to each side of the equation. 12 + 12x + -12x = -60 + 12x + -12x Combine like terms: 12x + -12x = 0 12 + 0 = -60 + 12x + -12x 12 = -60 + 12x + -12x Combine like terms: 12x + -12x = 0 12 = -60 + 0 12 = -60 Solving 12 = -60 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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