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Simplifying 0.25(4x + -5) = 0.75x + 8 Reorder the terms: 0.25(-5 + 4x) = 0.75x + 8 (-5 * 0.25 + 4x * 0.25) = 0.75x + 8 (-1.25 + 1x) = 0.75x + 8 Reorder the terms: -1.25 + 1x = 8 + 0.75x Solving -1.25 + 1x = 8 + 0.75x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.75x' to each side of the equation. -1.25 + 1x + -0.75x = 8 + 0.75x + -0.75x Combine like terms: 1x + -0.75x = 0.25x -1.25 + 0.25x = 8 + 0.75x + -0.75x Combine like terms: 0.75x + -0.75x = 0.00 -1.25 + 0.25x = 8 + 0.00 -1.25 + 0.25x = 8 Add '1.25' to each side of the equation. -1.25 + 1.25 + 0.25x = 8 + 1.25 Combine like terms: -1.25 + 1.25 = 0.00 0.00 + 0.25x = 8 + 1.25 0.25x = 8 + 1.25 Combine like terms: 8 + 1.25 = 9.25 0.25x = 9.25 Divide each side by '0.25'. x = 37 Simplifying x = 37
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