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Simplifying -0.5(x + 3) = 0.25(7 + -2x) Reorder the terms: -0.5(3 + x) = 0.25(7 + -2x) (3 * -0.5 + x * -0.5) = 0.25(7 + -2x) (-1.5 + -0.5x) = 0.25(7 + -2x) -1.5 + -0.5x = (7 * 0.25 + -2x * 0.25) -1.5 + -0.5x = (1.75 + -0.5x) Add '0.5x' to each side of the equation. -1.5 + -0.5x + 0.5x = 1.75 + -0.5x + 0.5x Combine like terms: -0.5x + 0.5x = 0.0 -1.5 + 0.0 = 1.75 + -0.5x + 0.5x -1.5 = 1.75 + -0.5x + 0.5x Combine like terms: -0.5x + 0.5x = 0.0 -1.5 = 1.75 + 0.0 -1.5 = 1.75 Solving -1.5 = 1.75 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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