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Simplifying -6(x + 2) + 12x = 6(x + 4) + -12 Reorder the terms: -6(2 + x) + 12x = 6(x + 4) + -12 (2 * -6 + x * -6) + 12x = 6(x + 4) + -12 (-12 + -6x) + 12x = 6(x + 4) + -12 Combine like terms: -6x + 12x = 6x -12 + 6x = 6(x + 4) + -12 Reorder the terms: -12 + 6x = 6(4 + x) + -12 -12 + 6x = (4 * 6 + x * 6) + -12 -12 + 6x = (24 + 6x) + -12 Reorder the terms: -12 + 6x = 24 + -12 + 6x Combine like terms: 24 + -12 = 12 -12 + 6x = 12 + 6x Add '-6x' to each side of the equation. -12 + 6x + -6x = 12 + 6x + -6x Combine like terms: 6x + -6x = 0 -12 + 0 = 12 + 6x + -6x -12 = 12 + 6x + -6x Combine like terms: 6x + -6x = 0 -12 = 12 + 0 -12 = 12 Solving -12 = 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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