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Simplifying 12(x + 3) = 4(2x + 8) + 4x Reorder the terms: 12(3 + x) = 4(2x + 8) + 4x (3 * 12 + x * 12) = 4(2x + 8) + 4x (36 + 12x) = 4(2x + 8) + 4x Reorder the terms: 36 + 12x = 4(8 + 2x) + 4x 36 + 12x = (8 * 4 + 2x * 4) + 4x 36 + 12x = (32 + 8x) + 4x Combine like terms: 8x + 4x = 12x 36 + 12x = 32 + 12x Add '-12x' to each side of the equation. 36 + 12x + -12x = 32 + 12x + -12x Combine like terms: 12x + -12x = 0 36 + 0 = 32 + 12x + -12x 36 = 32 + 12x + -12x Combine like terms: 12x + -12x = 0 36 = 32 + 0 36 = 32 Solving 36 = 32 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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