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Simplifying 12x + 1 = 3(4x + -1) + -2 Reorder the terms: 1 + 12x = 3(4x + -1) + -2 Reorder the terms: 1 + 12x = 3(-1 + 4x) + -2 1 + 12x = (-1 * 3 + 4x * 3) + -2 1 + 12x = (-3 + 12x) + -2 Reorder the terms: 1 + 12x = -3 + -2 + 12x Combine like terms: -3 + -2 = -5 1 + 12x = -5 + 12x Add '-12x' to each side of the equation. 1 + 12x + -12x = -5 + 12x + -12x Combine like terms: 12x + -12x = 0 1 + 0 = -5 + 12x + -12x 1 = -5 + 12x + -12x Combine like terms: 12x + -12x = 0 1 = -5 + 0 1 = -5 Solving 1 = -5 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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