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Simplifying 0.25(3x + -8) = (0.5x + 4) Reorder the terms: 0.25(-8 + 3x) = (0.5x + 4) (-8 * 0.25 + 3x * 0.25) = (0.5x + 4) (-2 + 0.75x) = (0.5x + 4) Reorder the terms: -2 + 0.75x = (4 + 0.5x) Remove parenthesis around (4 + 0.5x) -2 + 0.75x = 4 + 0.5x Solving -2 + 0.75x = 4 + 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. -2 + 0.75x + -0.5x = 4 + 0.5x + -0.5x Combine like terms: 0.75x + -0.5x = 0.25x -2 + 0.25x = 4 + 0.5x + -0.5x Combine like terms: 0.5x + -0.5x = 0.0 -2 + 0.25x = 4 + 0.0 -2 + 0.25x = 4 Add '2' to each side of the equation. -2 + 2 + 0.25x = 4 + 2 Combine like terms: -2 + 2 = 0 0 + 0.25x = 4 + 2 0.25x = 4 + 2 Combine like terms: 4 + 2 = 6 0.25x = 6 Divide each side by '0.25'. x = 24 Simplifying x = 24
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