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Simplifying 8(3x + -2) + 4 = 13(2x + -1) + -2x Reorder the terms: 8(-2 + 3x) + 4 = 13(2x + -1) + -2x (-2 * 8 + 3x * 8) + 4 = 13(2x + -1) + -2x (-16 + 24x) + 4 = 13(2x + -1) + -2x Reorder the terms: -16 + 4 + 24x = 13(2x + -1) + -2x Combine like terms: -16 + 4 = -12 -12 + 24x = 13(2x + -1) + -2x Reorder the terms: -12 + 24x = 13(-1 + 2x) + -2x -12 + 24x = (-1 * 13 + 2x * 13) + -2x -12 + 24x = (-13 + 26x) + -2x Combine like terms: 26x + -2x = 24x -12 + 24x = -13 + 24x Add '-24x' to each side of the equation. -12 + 24x + -24x = -13 + 24x + -24x Combine like terms: 24x + -24x = 0 -12 + 0 = -13 + 24x + -24x -12 = -13 + 24x + -24x Combine like terms: 24x + -24x = 0 -12 = -13 + 0 -12 = -13 Solving -12 = -13 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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