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Simplifying (2.65 + x) * 35 = 477.75 Reorder the terms for easier multiplication: 35(2.65 + x) = 477.75 (2.65 * 35 + x * 35) = 477.75 (92.75 + 35x) = 477.75 Solving 92.75 + 35x = 477.75 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-92.75' to each side of the equation. 92.75 + -92.75 + 35x = 477.75 + -92.75 Combine like terms: 92.75 + -92.75 = 0.00 0.00 + 35x = 477.75 + -92.75 35x = 477.75 + -92.75 Combine like terms: 477.75 + -92.75 = 385 35x = 385 Divide each side by '35'. x = 11 Simplifying x = 11
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