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Simplifying 6x + -1(4 + -6x) = 1.5(8x + 12) 6x + (4 * -1 + -6x * -1) = 1.5(8x + 12) 6x + (-4 + 6x) = 1.5(8x + 12) Reorder the terms: -4 + 6x + 6x = 1.5(8x + 12) Combine like terms: 6x + 6x = 12x -4 + 12x = 1.5(8x + 12) Reorder the terms: -4 + 12x = 1.5(12 + 8x) -4 + 12x = (12 * 1.5 + 8x * 1.5) -4 + 12x = (18 + 12x) Add '-12x' to each side of the equation. -4 + 12x + -12x = 18 + 12x + -12x Combine like terms: 12x + -12x = 0 -4 + 0 = 18 + 12x + -12x -4 = 18 + 12x + -12x Combine like terms: 12x + -12x = 0 -4 = 18 + 0 -4 = 18 Solving -4 = 18 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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