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Simplifying 0.75(3x + 9) = 6 Reorder the terms: 0.75(9 + 3x) = 6 (9 * 0.75 + 3x * 0.75) = 6 (6.75 + 2.25x) = 6 Solving 6.75 + 2.25x = 6 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6.75' to each side of the equation. 6.75 + -6.75 + 2.25x = 6 + -6.75 Combine like terms: 6.75 + -6.75 = 0.00 0.00 + 2.25x = 6 + -6.75 2.25x = 6 + -6.75 Combine like terms: 6 + -6.75 = -0.75 2.25x = -0.75 Divide each side by '2.25'. x = -0.3333333333 Simplifying x = -0.3333333333
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