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Simplifying 6(4x + -7) = 2(12x + 1) Reorder the terms: 6(-7 + 4x) = 2(12x + 1) (-7 * 6 + 4x * 6) = 2(12x + 1) (-42 + 24x) = 2(12x + 1) Reorder the terms: -42 + 24x = 2(1 + 12x) -42 + 24x = (1 * 2 + 12x * 2) -42 + 24x = (2 + 24x) Add '-24x' to each side of the equation. -42 + 24x + -24x = 2 + 24x + -24x Combine like terms: 24x + -24x = 0 -42 + 0 = 2 + 24x + -24x -42 = 2 + 24x + -24x Combine like terms: 24x + -24x = 0 -42 = 2 + 0 -42 = 2 Solving -42 = 2 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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