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Simplifying 8(2x + -3) + -10x = 3(2x + -1) + 8 Reorder the terms: 8(-3 + 2x) + -10x = 3(2x + -1) + 8 (-3 * 8 + 2x * 8) + -10x = 3(2x + -1) + 8 (-24 + 16x) + -10x = 3(2x + -1) + 8 Combine like terms: 16x + -10x = 6x -24 + 6x = 3(2x + -1) + 8 Reorder the terms: -24 + 6x = 3(-1 + 2x) + 8 -24 + 6x = (-1 * 3 + 2x * 3) + 8 -24 + 6x = (-3 + 6x) + 8 Reorder the terms: -24 + 6x = -3 + 8 + 6x Combine like terms: -3 + 8 = 5 -24 + 6x = 5 + 6x Add '-6x' to each side of the equation. -24 + 6x + -6x = 5 + 6x + -6x Combine like terms: 6x + -6x = 0 -24 + 0 = 5 + 6x + -6x -24 = 5 + 6x + -6x Combine like terms: 6x + -6x = 0 -24 = 5 + 0 -24 = 5 Solving -24 = 5 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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