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Simplifying 0.75(x + 3.5) = 6 Reorder the terms: 0.75(3.5 + x) = 6 (3.5 * 0.75 + x * 0.75) = 6 (2.625 + 0.75x) = 6 Solving 2.625 + 0.75x = 6 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2.625' to each side of the equation. 2.625 + -2.625 + 0.75x = 6 + -2.625 Combine like terms: 2.625 + -2.625 = 0.000 0.000 + 0.75x = 6 + -2.625 0.75x = 6 + -2.625 Combine like terms: 6 + -2.625 = 3.375 0.75x = 3.375 Divide each side by '0.75'. x = 4.5 Simplifying x = 4.5
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