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Simplifying 0.75(x + 8) = 0.25(x + 27) Reorder the terms: 0.75(8 + x) = 0.25(x + 27) (8 * 0.75 + x * 0.75) = 0.25(x + 27) (6 + 0.75x) = 0.25(x + 27) Reorder the terms: 6 + 0.75x = 0.25(27 + x) 6 + 0.75x = (27 * 0.25 + x * 0.25) 6 + 0.75x = (6.75 + 0.25x) Solving 6 + 0.75x = 6.75 + 0.25x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.25x' to each side of the equation. 6 + 0.75x + -0.25x = 6.75 + 0.25x + -0.25x Combine like terms: 0.75x + -0.25x = 0.5x 6 + 0.5x = 6.75 + 0.25x + -0.25x Combine like terms: 0.25x + -0.25x = 0.00 6 + 0.5x = 6.75 + 0.00 6 + 0.5x = 6.75 Add '-6' to each side of the equation. 6 + -6 + 0.5x = 6.75 + -6 Combine like terms: 6 + -6 = 0 0 + 0.5x = 6.75 + -6 0.5x = 6.75 + -6 Combine like terms: 6.75 + -6 = 0.75 0.5x = 0.75 Divide each side by '0.5'. x = 1.5 Simplifying x = 1.5
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