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Simplifying 3(4x + -7) + 2 = 3(6x + 7) + -6x Reorder the terms: 3(-7 + 4x) + 2 = 3(6x + 7) + -6x (-7 * 3 + 4x * 3) + 2 = 3(6x + 7) + -6x (-21 + 12x) + 2 = 3(6x + 7) + -6x Reorder the terms: -21 + 2 + 12x = 3(6x + 7) + -6x Combine like terms: -21 + 2 = -19 -19 + 12x = 3(6x + 7) + -6x Reorder the terms: -19 + 12x = 3(7 + 6x) + -6x -19 + 12x = (7 * 3 + 6x * 3) + -6x -19 + 12x = (21 + 18x) + -6x Combine like terms: 18x + -6x = 12x -19 + 12x = 21 + 12x Add '-12x' to each side of the equation. -19 + 12x + -12x = 21 + 12x + -12x Combine like terms: 12x + -12x = 0 -19 + 0 = 21 + 12x + -12x -19 = 21 + 12x + -12x Combine like terms: 12x + -12x = 0 -19 = 21 + 0 -19 = 21 Solving -19 = 21 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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