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Simplifying 5(2x + -3) + -4x = 3(2x + -1) + 6 Reorder the terms: 5(-3 + 2x) + -4x = 3(2x + -1) + 6 (-3 * 5 + 2x * 5) + -4x = 3(2x + -1) + 6 (-15 + 10x) + -4x = 3(2x + -1) + 6 Combine like terms: 10x + -4x = 6x -15 + 6x = 3(2x + -1) + 6 Reorder the terms: -15 + 6x = 3(-1 + 2x) + 6 -15 + 6x = (-1 * 3 + 2x * 3) + 6 -15 + 6x = (-3 + 6x) + 6 Reorder the terms: -15 + 6x = -3 + 6 + 6x Combine like terms: -3 + 6 = 3 -15 + 6x = 3 + 6x Add '-6x' to each side of the equation. -15 + 6x + -6x = 3 + 6x + -6x Combine like terms: 6x + -6x = 0 -15 + 0 = 3 + 6x + -6x -15 = 3 + 6x + -6x Combine like terms: 6x + -6x = 0 -15 = 3 + 0 -15 = 3 Solving -15 = 3 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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