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Simplifying 12 + 6(x + -7) = 3(x + 4) + 3x Reorder the terms: 12 + 6(-7 + x) = 3(x + 4) + 3x 12 + (-7 * 6 + x * 6) = 3(x + 4) + 3x 12 + (-42 + 6x) = 3(x + 4) + 3x Combine like terms: 12 + -42 = -30 -30 + 6x = 3(x + 4) + 3x Reorder the terms: -30 + 6x = 3(4 + x) + 3x -30 + 6x = (4 * 3 + x * 3) + 3x -30 + 6x = (12 + 3x) + 3x Combine like terms: 3x + 3x = 6x -30 + 6x = 12 + 6x Add '-6x' to each side of the equation. -30 + 6x + -6x = 12 + 6x + -6x Combine like terms: 6x + -6x = 0 -30 + 0 = 12 + 6x + -6x -30 = 12 + 6x + -6x Combine like terms: 6x + -6x = 0 -30 = 12 + 0 -30 = 12 Solving -30 = 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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