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Simplifying 12(x + 3) + -4x = 2(4x + 3) + -14 Reorder the terms: 12(3 + x) + -4x = 2(4x + 3) + -14 (3 * 12 + x * 12) + -4x = 2(4x + 3) + -14 (36 + 12x) + -4x = 2(4x + 3) + -14 Combine like terms: 12x + -4x = 8x 36 + 8x = 2(4x + 3) + -14 Reorder the terms: 36 + 8x = 2(3 + 4x) + -14 36 + 8x = (3 * 2 + 4x * 2) + -14 36 + 8x = (6 + 8x) + -14 Reorder the terms: 36 + 8x = 6 + -14 + 8x Combine like terms: 6 + -14 = -8 36 + 8x = -8 + 8x Add '-8x' to each side of the equation. 36 + 8x + -8x = -8 + 8x + -8x Combine like terms: 8x + -8x = 0 36 + 0 = -8 + 8x + -8x 36 = -8 + 8x + -8x Combine like terms: 8x + -8x = 0 36 = -8 + 0 36 = -8 Solving 36 = -8 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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