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Simplifying 6(3x + -4) + 5x + -2 = 5(4x + 1) + 3x + -7 Reorder the terms: 6(-4 + 3x) + 5x + -2 = 5(4x + 1) + 3x + -7 (-4 * 6 + 3x * 6) + 5x + -2 = 5(4x + 1) + 3x + -7 (-24 + 18x) + 5x + -2 = 5(4x + 1) + 3x + -7 Reorder the terms: -24 + -2 + 18x + 5x = 5(4x + 1) + 3x + -7 Combine like terms: -24 + -2 = -26 -26 + 18x + 5x = 5(4x + 1) + 3x + -7 Combine like terms: 18x + 5x = 23x -26 + 23x = 5(4x + 1) + 3x + -7 Reorder the terms: -26 + 23x = 5(1 + 4x) + 3x + -7 -26 + 23x = (1 * 5 + 4x * 5) + 3x + -7 -26 + 23x = (5 + 20x) + 3x + -7 Reorder the terms: -26 + 23x = 5 + -7 + 20x + 3x Combine like terms: 5 + -7 = -2 -26 + 23x = -2 + 20x + 3x Combine like terms: 20x + 3x = 23x -26 + 23x = -2 + 23x Add '-23x' to each side of the equation. -26 + 23x + -23x = -2 + 23x + -23x Combine like terms: 23x + -23x = 0 -26 + 0 = -2 + 23x + -23x -26 = -2 + 23x + -23x Combine like terms: 23x + -23x = 0 -26 = -2 + 0 -26 = -2 Solving -26 = -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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