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Simplifying 2(2x + 4) + 4(2x + 6) + 5 = 12x + 38 Reorder the terms: 2(4 + 2x) + 4(2x + 6) + 5 = 12x + 38 (4 * 2 + 2x * 2) + 4(2x + 6) + 5 = 12x + 38 (8 + 4x) + 4(2x + 6) + 5 = 12x + 38 Reorder the terms: 8 + 4x + 4(6 + 2x) + 5 = 12x + 38 8 + 4x + (6 * 4 + 2x * 4) + 5 = 12x + 38 8 + 4x + (24 + 8x) + 5 = 12x + 38 Reorder the terms: 8 + 24 + 5 + 4x + 8x = 12x + 38 Combine like terms: 8 + 24 = 32 32 + 5 + 4x + 8x = 12x + 38 Combine like terms: 32 + 5 = 37 37 + 4x + 8x = 12x + 38 Combine like terms: 4x + 8x = 12x 37 + 12x = 12x + 38 Reorder the terms: 37 + 12x = 38 + 12x Add '-12x' to each side of the equation. 37 + 12x + -12x = 38 + 12x + -12x Combine like terms: 12x + -12x = 0 37 + 0 = 38 + 12x + -12x 37 = 38 + 12x + -12x Combine like terms: 12x + -12x = 0 37 = 38 + 0 37 = 38 Solving 37 = 38 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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