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Simplifying 5(2x + -1) + x + 12 = 5x + 6(x + 2) Reorder the terms: 5(-1 + 2x) + x + 12 = 5x + 6(x + 2) (-1 * 5 + 2x * 5) + x + 12 = 5x + 6(x + 2) (-5 + 10x) + x + 12 = 5x + 6(x + 2) Reorder the terms: -5 + 12 + 10x + x = 5x + 6(x + 2) Combine like terms: -5 + 12 = 7 7 + 10x + x = 5x + 6(x + 2) Combine like terms: 10x + x = 11x 7 + 11x = 5x + 6(x + 2) Reorder the terms: 7 + 11x = 5x + 6(2 + x) 7 + 11x = 5x + (2 * 6 + x * 6) 7 + 11x = 5x + (12 + 6x) Reorder the terms: 7 + 11x = 12 + 5x + 6x Combine like terms: 5x + 6x = 11x 7 + 11x = 12 + 11x Add '-11x' to each side of the equation. 7 + 11x + -11x = 12 + 11x + -11x Combine like terms: 11x + -11x = 0 7 + 0 = 12 + 11x + -11x 7 = 12 + 11x + -11x Combine like terms: 11x + -11x = 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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