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Simplifying 0.25(3x + -8) = 2(0.5x + 4) Reorder the terms: 0.25(-8 + 3x) = 2(0.5x + 4) (-8 * 0.25 + 3x * 0.25) = 2(0.5x + 4) (-2 + 0.75x) = 2(0.5x + 4) Reorder the terms: -2 + 0.75x = 2(4 + 0.5x) -2 + 0.75x = (4 * 2 + 0.5x * 2) -2 + 0.75x = (8 + 1x) Solving -2 + 0.75x = 8 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -2 + 0.75x + -1x = 8 + 1x + -1x Combine like terms: 0.75x + -1x = -0.25x -2 + -0.25x = 8 + 1x + -1x Combine like terms: 1x + -1x = 0 -2 + -0.25x = 8 + 0 -2 + -0.25x = 8 Add '2' to each side of the equation. -2 + 2 + -0.25x = 8 + 2 Combine like terms: -2 + 2 = 0 0 + -0.25x = 8 + 2 -0.25x = 8 + 2 Combine like terms: 8 + 2 = 10 -0.25x = 10 Divide each side by '-0.25'. x = -40 Simplifying x = -40
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