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Simplifying 0.25(x + 8) + -2 = 0.5(x + -6) Reorder the terms: 0.25(8 + x) + -2 = 0.5(x + -6) (8 * 0.25 + x * 0.25) + -2 = 0.5(x + -6) (2 + 0.25x) + -2 = 0.5(x + -6) Reorder the terms: 2 + -2 + 0.25x = 0.5(x + -6) Combine like terms: 2 + -2 = 0 0 + 0.25x = 0.5(x + -6) 0.25x = 0.5(x + -6) Reorder the terms: 0.25x = 0.5(-6 + x) 0.25x = (-6 * 0.5 + x * 0.5) 0.25x = (-3 + 0.5x) Solving 0.25x = -3 + 0.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.5x' to each side of the equation. 0.25x + -0.5x = -3 + 0.5x + -0.5x Combine like terms: 0.25x + -0.5x = -0.25x -0.25x = -3 + 0.5x + -0.5x Combine like terms: 0.5x + -0.5x = 0.0 -0.25x = -3 + 0.0 -0.25x = -3 Divide each side by '-0.25'. x = 12 Simplifying x = 12
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