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Simplifying 3(2x + -4) = 2x + 4(x + 5) Reorder the terms: 3(-4 + 2x) = 2x + 4(x + 5) (-4 * 3 + 2x * 3) = 2x + 4(x + 5) (-12 + 6x) = 2x + 4(x + 5) Reorder the terms: -12 + 6x = 2x + 4(5 + x) -12 + 6x = 2x + (5 * 4 + x * 4) -12 + 6x = 2x + (20 + 4x) Reorder the terms: -12 + 6x = 20 + 2x + 4x Combine like terms: 2x + 4x = 6x -12 + 6x = 20 + 6x Add '-6x' to each side of the equation. -12 + 6x + -6x = 20 + 6x + -6x Combine like terms: 6x + -6x = 0 -12 + 0 = 20 + 6x + -6x -12 = 20 + 6x + -6x Combine like terms: 6x + -6x = 0 -12 = 20 + 0 -12 = 20 Solving -12 = 20 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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