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Simplifying 2x + -2(4x + 5) = -6(x + -3) + -8 Reorder the terms: 2x + -2(5 + 4x) = -6(x + -3) + -8 2x + (5 * -2 + 4x * -2) = -6(x + -3) + -8 2x + (-10 + -8x) = -6(x + -3) + -8 Reorder the terms: -10 + 2x + -8x = -6(x + -3) + -8 Combine like terms: 2x + -8x = -6x -10 + -6x = -6(x + -3) + -8 Reorder the terms: -10 + -6x = -6(-3 + x) + -8 -10 + -6x = (-3 * -6 + x * -6) + -8 -10 + -6x = (18 + -6x) + -8 Reorder the terms: -10 + -6x = 18 + -8 + -6x Combine like terms: 18 + -8 = 10 -10 + -6x = 10 + -6x Add '6x' to each side of the equation. -10 + -6x + 6x = 10 + -6x + 6x Combine like terms: -6x + 6x = 0 -10 + 0 = 10 + -6x + 6x -10 = 10 + -6x + 6x Combine like terms: -6x + 6x = 0 -10 = 10 + 0 -10 = 10 Solving -10 = 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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