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Simplifying 6(3x + -2) + 2x = 5(4x + 1) Reorder the terms: 6(-2 + 3x) + 2x = 5(4x + 1) (-2 * 6 + 3x * 6) + 2x = 5(4x + 1) (-12 + 18x) + 2x = 5(4x + 1) Combine like terms: 18x + 2x = 20x -12 + 20x = 5(4x + 1) Reorder the terms: -12 + 20x = 5(1 + 4x) -12 + 20x = (1 * 5 + 4x * 5) -12 + 20x = (5 + 20x) Add '-20x' to each side of the equation. -12 + 20x + -20x = 5 + 20x + -20x Combine like terms: 20x + -20x = 0 -12 + 0 = 5 + 20x + -20x -12 = 5 + 20x + -20x Combine like terms: 20x + -20x = 0 -12 = 5 + 0 -12 = 5 Solving -12 = 5 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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