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Simplifying 0.5(4x + -8) + -2 = 0.25(8x + -8) Reorder the terms: 0.5(-8 + 4x) + -2 = 0.25(8x + -8) (-8 * 0.5 + 4x * 0.5) + -2 = 0.25(8x + -8) (-4 + 2x) + -2 = 0.25(8x + -8) Reorder the terms: -4 + -2 + 2x = 0.25(8x + -8) Combine like terms: -4 + -2 = -6 -6 + 2x = 0.25(8x + -8) Reorder the terms: -6 + 2x = 0.25(-8 + 8x) -6 + 2x = (-8 * 0.25 + 8x * 0.25) -6 + 2x = (-2 + 2x) Add '-2x' to each side of the equation. -6 + 2x + -2x = -2 + 2x + -2x Combine like terms: 2x + -2x = 0 -6 + 0 = -2 + 2x + -2x -6 = -2 + 2x + -2x Combine like terms: 2x + -2x = 0 -6 = -2 + 0 -6 = -2 Solving -6 = -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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