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Simplifying -4(x + 6) + -2 = -12x + 8(x + 5) Reorder the terms: -4(6 + x) + -2 = -12x + 8(x + 5) (6 * -4 + x * -4) + -2 = -12x + 8(x + 5) (-24 + -4x) + -2 = -12x + 8(x + 5) Reorder the terms: -24 + -2 + -4x = -12x + 8(x + 5) Combine like terms: -24 + -2 = -26 -26 + -4x = -12x + 8(x + 5) Reorder the terms: -26 + -4x = -12x + 8(5 + x) -26 + -4x = -12x + (5 * 8 + x * 8) -26 + -4x = -12x + (40 + 8x) Reorder the terms: -26 + -4x = 40 + -12x + 8x Combine like terms: -12x + 8x = -4x -26 + -4x = 40 + -4x Add '4x' to each side of the equation. -26 + -4x + 4x = 40 + -4x + 4x Combine like terms: -4x + 4x = 0 -26 + 0 = 40 + -4x + 4x -26 = 40 + -4x + 4x Combine like terms: -4x + 4x = 0 -26 = 40 + 0 -26 = 40 Solving -26 = 40 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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