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Simplifying 5(4x + -6) + -3x = 6(3x + 2) + -1x Reorder the terms: 5(-6 + 4x) + -3x = 6(3x + 2) + -1x (-6 * 5 + 4x * 5) + -3x = 6(3x + 2) + -1x (-30 + 20x) + -3x = 6(3x + 2) + -1x Combine like terms: 20x + -3x = 17x -30 + 17x = 6(3x + 2) + -1x Reorder the terms: -30 + 17x = 6(2 + 3x) + -1x -30 + 17x = (2 * 6 + 3x * 6) + -1x -30 + 17x = (12 + 18x) + -1x Combine like terms: 18x + -1x = 17x -30 + 17x = 12 + 17x Add '-17x' to each side of the equation. -30 + 17x + -17x = 12 + 17x + -17x Combine like terms: 17x + -17x = 0 -30 + 0 = 12 + 17x + -17x -30 = 12 + 17x + -17x Combine like terms: 17x + -17x = 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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