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