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Simplifying 5(2x + -4) + -6(x + 4) + -3(x + -8) = 2x + -1x + -19 Reorder the terms: 5(-4 + 2x) + -6(x + 4) + -3(x + -8) = 2x + -1x + -19 (-4 * 5 + 2x * 5) + -6(x + 4) + -3(x + -8) = 2x + -1x + -19 (-20 + 10x) + -6(x + 4) + -3(x + -8) = 2x + -1x + -19 Reorder the terms: -20 + 10x + -6(4 + x) + -3(x + -8) = 2x + -1x + -19 -20 + 10x + (4 * -6 + x * -6) + -3(x + -8) = 2x + -1x + -19 -20 + 10x + (-24 + -6x) + -3(x + -8) = 2x + -1x + -19 Reorder the terms: -20 + 10x + -24 + -6x + -3(-8 + x) = 2x + -1x + -19 -20 + 10x + -24 + -6x + (-8 * -3 + x * -3) = 2x + -1x + -19 -20 + 10x + -24 + -6x + (24 + -3x) = 2x + -1x + -19 Reorder the terms: -20 + -24 + 24 + 10x + -6x + -3x = 2x + -1x + -19 Combine like terms: -20 + -24 = -44 -44 + 24 + 10x + -6x + -3x = 2x + -1x + -19 Combine like terms: -44 + 24 = -20 -20 + 10x + -6x + -3x = 2x + -1x + -19 Combine like terms: 10x + -6x = 4x -20 + 4x + -3x = 2x + -1x + -19 Combine like terms: 4x + -3x = 1x -20 + 1x = 2x + -1x + -19 Reorder the terms: -20 + 1x = -19 + 2x + -1x Combine like terms: 2x + -1x = 1x -20 + 1x = -19 + 1x Add '-1x' to each side of the equation. -20 + 1x + -1x = -19 + 1x + -1x Combine like terms: 1x + -1x = 0 -20 + 0 = -19 + 1x + -1x -20 = -19 + 1x + -1x Combine like terms: 1x + -1x = 0 -20 = -19 + 0 -20 = -19 Solving -20 = -19 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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