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Simplifying 6(x + 2) + 9 = 2x + 4(4 + x) Reorder the terms: 6(2 + x) + 9 = 2x + 4(4 + x) (2 * 6 + x * 6) + 9 = 2x + 4(4 + x) (12 + 6x) + 9 = 2x + 4(4 + x) Reorder the terms: 12 + 9 + 6x = 2x + 4(4 + x) Combine like terms: 12 + 9 = 21 21 + 6x = 2x + 4(4 + x) 21 + 6x = 2x + (4 * 4 + x * 4) 21 + 6x = 2x + (16 + 4x) Reorder the terms: 21 + 6x = 16 + 2x + 4x Combine like terms: 2x + 4x = 6x 21 + 6x = 16 + 6x Add '-6x' to each side of the equation. 21 + 6x + -6x = 16 + 6x + -6x Combine like terms: 6x + -6x = 0 21 + 0 = 16 + 6x + -6x 21 = 16 + 6x + -6x Combine like terms: 6x + -6x = 0 21 = 16 + 0 21 = 16 Solving 21 = 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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