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Simplifying 3(4x + 2) = 7 + -4(1 + -3x) Reorder the terms: 3(2 + 4x) = 7 + -4(1 + -3x) (2 * 3 + 4x * 3) = 7 + -4(1 + -3x) (6 + 12x) = 7 + -4(1 + -3x) 6 + 12x = 7 + (1 * -4 + -3x * -4) 6 + 12x = 7 + (-4 + 12x) Combine like terms: 7 + -4 = 3 6 + 12x = 3 + 12x Add '-12x' to each side of the equation. 6 + 12x + -12x = 3 + 12x + -12x Combine like terms: 12x + -12x = 0 6 + 0 = 3 + 12x + -12x 6 = 3 + 12x + -12x Combine like terms: 12x + -12x = 0 6 = 3 + 0 6 = 3 Solving 6 = 3 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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