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Simplifying 4(x + -6) + 8x = 6(2x + 3) + -8 Reorder the terms: 4(-6 + x) + 8x = 6(2x + 3) + -8 (-6 * 4 + x * 4) + 8x = 6(2x + 3) + -8 (-24 + 4x) + 8x = 6(2x + 3) + -8 Combine like terms: 4x + 8x = 12x -24 + 12x = 6(2x + 3) + -8 Reorder the terms: -24 + 12x = 6(3 + 2x) + -8 -24 + 12x = (3 * 6 + 2x * 6) + -8 -24 + 12x = (18 + 12x) + -8 Reorder the terms: -24 + 12x = 18 + -8 + 12x Combine like terms: 18 + -8 = 10 -24 + 12x = 10 + 12x Add '-12x' to each side of the equation. -24 + 12x + -12x = 10 + 12x + -12x Combine like terms: 12x + -12x = 0 -24 + 0 = 10 + 12x + -12x -24 = 10 + 12x + -12x Combine like terms: 12x + -12x = 0 -24 = 10 + 0 -24 = 10 Solving -24 = 10 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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