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Simplifying 6(x + 2) + -5 = 3x + 3(4 + x) Reorder the terms: 6(2 + x) + -5 = 3x + 3(4 + x) (2 * 6 + x * 6) + -5 = 3x + 3(4 + x) (12 + 6x) + -5 = 3x + 3(4 + x) Reorder the terms: 12 + -5 + 6x = 3x + 3(4 + x) Combine like terms: 12 + -5 = 7 7 + 6x = 3x + 3(4 + x) 7 + 6x = 3x + (4 * 3 + x * 3) 7 + 6x = 3x + (12 + 3x) Reorder the terms: 7 + 6x = 12 + 3x + 3x Combine like terms: 3x + 3x = 6x 7 + 6x = 12 + 6x Add '-6x' to each side of the equation. 7 + 6x + -6x = 12 + 6x + -6x Combine like terms: 6x + -6x = 0 7 + 0 = 12 + 6x + -6x 7 = 12 + 6x + -6x Combine like terms: 6x + -6x = 0 7 = 12 + 0 7 = 12 Solving 7 = 12 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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