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Simplifying 2(3x + -4) + -2x = 0.5(8x + 4) Reorder the terms: 2(-4 + 3x) + -2x = 0.5(8x + 4) (-4 * 2 + 3x * 2) + -2x = 0.5(8x + 4) (-8 + 6x) + -2x = 0.5(8x + 4) Combine like terms: 6x + -2x = 4x -8 + 4x = 0.5(8x + 4) Reorder the terms: -8 + 4x = 0.5(4 + 8x) -8 + 4x = (4 * 0.5 + 8x * 0.5) -8 + 4x = (2 + 4x) Add '-4x' to each side of the equation. -8 + 4x + -4x = 2 + 4x + -4x Combine like terms: 4x + -4x = 0 -8 + 0 = 2 + 4x + -4x -8 = 2 + 4x + -4x Combine like terms: 4x + -4x = 0 -8 = 2 + 0 -8 = 2 Solving -8 = 2 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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