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Simplifying 6(x + 3) + -6 = 2x + 4(2 + x) Reorder the terms: 6(3 + x) + -6 = 2x + 4(2 + x) (3 * 6 + x * 6) + -6 = 2x + 4(2 + x) (18 + 6x) + -6 = 2x + 4(2 + x) Reorder the terms: 18 + -6 + 6x = 2x + 4(2 + x) Combine like terms: 18 + -6 = 12 12 + 6x = 2x + 4(2 + x) 12 + 6x = 2x + (2 * 4 + x * 4) 12 + 6x = 2x + (8 + 4x) Reorder the terms: 12 + 6x = 8 + 2x + 4x Combine like terms: 2x + 4x = 6x 12 + 6x = 8 + 6x Add '-6x' to each side of the equation. 12 + 6x + -6x = 8 + 6x + -6x Combine like terms: 6x + -6x = 0 12 + 0 = 8 + 6x + -6x 12 = 8 + 6x + -6x Combine like terms: 6x + -6x = 0 12 = 8 + 0 12 = 8 Solving 12 = 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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