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Simplifying 6(x + 4) = 2(x + 4) + 4(x + 2) Reorder the terms: 6(4 + x) = 2(x + 4) + 4(x + 2) (4 * 6 + x * 6) = 2(x + 4) + 4(x + 2) (24 + 6x) = 2(x + 4) + 4(x + 2) Reorder the terms: 24 + 6x = 2(4 + x) + 4(x + 2) 24 + 6x = (4 * 2 + x * 2) + 4(x + 2) 24 + 6x = (8 + 2x) + 4(x + 2) Reorder the terms: 24 + 6x = 8 + 2x + 4(2 + x) 24 + 6x = 8 + 2x + (2 * 4 + x * 4) 24 + 6x = 8 + 2x + (8 + 4x) Reorder the terms: 24 + 6x = 8 + 8 + 2x + 4x Combine like terms: 8 + 8 = 16 24 + 6x = 16 + 2x + 4x Combine like terms: 2x + 4x = 6x 24 + 6x = 16 + 6x Add '-6x' to each side of the equation. 24 + 6x + -6x = 16 + 6x + -6x Combine like terms: 6x + -6x = 0 24 + 0 = 16 + 6x + -6x 24 = 16 + 6x + -6x Combine like terms: 6x + -6x = 0 24 = 16 + 0 24 = 16 Solving 24 = 16 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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