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Simplifying 2(2x + -3) + -1(x + 4) = 3(x + -2) + -8 Reorder the terms: 2(-3 + 2x) + -1(x + 4) = 3(x + -2) + -8 (-3 * 2 + 2x * 2) + -1(x + 4) = 3(x + -2) + -8 (-6 + 4x) + -1(x + 4) = 3(x + -2) + -8 Reorder the terms: -6 + 4x + -1(4 + x) = 3(x + -2) + -8 -6 + 4x + (4 * -1 + x * -1) = 3(x + -2) + -8 -6 + 4x + (-4 + -1x) = 3(x + -2) + -8 Reorder the terms: -6 + -4 + 4x + -1x = 3(x + -2) + -8 Combine like terms: -6 + -4 = -10 -10 + 4x + -1x = 3(x + -2) + -8 Combine like terms: 4x + -1x = 3x -10 + 3x = 3(x + -2) + -8 Reorder the terms: -10 + 3x = 3(-2 + x) + -8 -10 + 3x = (-2 * 3 + x * 3) + -8 -10 + 3x = (-6 + 3x) + -8 Reorder the terms: -10 + 3x = -6 + -8 + 3x Combine like terms: -6 + -8 = -14 -10 + 3x = -14 + 3x Add '-3x' to each side of the equation. -10 + 3x + -3x = -14 + 3x + -3x Combine like terms: 3x + -3x = 0 -10 + 0 = -14 + 3x + -3x -10 = -14 + 3x + -3x Combine like terms: 3x + -3x = 0 -10 = -14 + 0 -10 = -14 Solving -10 = -14 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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