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Simplifying 6(2x + -1) + -12 = 7 + 12(x + 1) Reorder the terms: 6(-1 + 2x) + -12 = 7 + 12(x + 1) (-1 * 6 + 2x * 6) + -12 = 7 + 12(x + 1) (-6 + 12x) + -12 = 7 + 12(x + 1) Reorder the terms: -6 + -12 + 12x = 7 + 12(x + 1) Combine like terms: -6 + -12 = -18 -18 + 12x = 7 + 12(x + 1) Reorder the terms: -18 + 12x = 7 + 12(1 + x) -18 + 12x = 7 + (1 * 12 + x * 12) -18 + 12x = 7 + (12 + 12x) Combine like terms: 7 + 12 = 19 -18 + 12x = 19 + 12x Add '-12x' to each side of the equation. -18 + 12x + -12x = 19 + 12x + -12x Combine like terms: 12x + -12x = 0 -18 + 0 = 19 + 12x + -12x -18 = 19 + 12x + -12x Combine like terms: 12x + -12x = 0 -18 = 19 + 0 -18 = 19 Solving -18 = 19 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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