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Simplifying 4(3x + -2) + 5 = 6(2x + -1) + 24 Reorder the terms: 4(-2 + 3x) + 5 = 6(2x + -1) + 24 (-2 * 4 + 3x * 4) + 5 = 6(2x + -1) + 24 (-8 + 12x) + 5 = 6(2x + -1) + 24 Reorder the terms: -8 + 5 + 12x = 6(2x + -1) + 24 Combine like terms: -8 + 5 = -3 -3 + 12x = 6(2x + -1) + 24 Reorder the terms: -3 + 12x = 6(-1 + 2x) + 24 -3 + 12x = (-1 * 6 + 2x * 6) + 24 -3 + 12x = (-6 + 12x) + 24 Reorder the terms: -3 + 12x = -6 + 24 + 12x Combine like terms: -6 + 24 = 18 -3 + 12x = 18 + 12x Add '-12x' to each side of the equation. -3 + 12x + -12x = 18 + 12x + -12x Combine like terms: 12x + -12x = 0 -3 + 0 = 18 + 12x + -12x -3 = 18 + 12x + -12x Combine like terms: 12x + -12x = 0 -3 = 18 + 0 -3 = 18 Solving -3 = 18 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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