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Simplifying ((91 * 0.05) + (96 * 0.05) + (100 * 0.1) + (95 * 0.15) + (91 * 0.15) + (x * 0.5)) = 95 Multiply 91 * 0.05 ((4.55) + (96 * 0.05) + (100 * 0.1) + (95 * 0.15) + (91 * 0.15) + (x * 0.5)) = 95 (4.55 + (96 * 0.05) + (100 * 0.1) + (95 * 0.15) + (91 * 0.15) + (x * 0.5)) = 95 Multiply 96 * 0.05 (4.55 + (4.8) + (100 * 0.1) + (95 * 0.15) + (91 * 0.15) + (x * 0.5)) = 95 (4.55 + 4.8 + (100 * 0.1) + (95 * 0.15) + (91 * 0.15) + (x * 0.5)) = 95 Multiply 100 * 0.1 (4.55 + 4.8 + (10) + (95 * 0.15) + (91 * 0.15) + (x * 0.5)) = 95 (4.55 + 4.8 + 10 + (95 * 0.15) + (91 * 0.15) + (x * 0.5)) = 95 Multiply 95 * 0.15 (4.55 + 4.8 + 10 + (14.25) + (91 * 0.15) + (x * 0.5)) = 95 (4.55 + 4.8 + 10 + 14.25 + (91 * 0.15) + (x * 0.5)) = 95 Multiply 91 * 0.15 (4.55 + 4.8 + 10 + 14.25 + (13.65) + (x * 0.5)) = 95 (4.55 + 4.8 + 10 + 14.25 + 13.65 + (x * 0.5)) = 95 Reorder the terms for easier multiplication: (4.55 + 4.8 + 10 + 14.25 + 13.65 + (0.5x)) = 95 Combine like terms: 4.55 + 4.8 = 9.35 (9.35 + 10 + 14.25 + 13.65 + (0.5x)) = 95 Combine like terms: 9.35 + 10 = 19.35 (19.35 + 14.25 + 13.65 + (0.5x)) = 95 Combine like terms: 19.35 + 14.25 = 33.6 (33.6 + 13.65 + (0.5x)) = 95 Combine like terms: 33.6 + 13.65 = 47.25 (47.25 + (0.5x)) = 95 Remove parenthesis around (47.25 + (0.5x)) 47.25 + (0.5x) = 95 Solving 47.25 + (0.5x) = 95 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-47.25' to each side of the equation. 47.25 + -47.25 + (0.5x) = 95 + -47.25 Combine like terms: 47.25 + -47.25 = 0.00 0.00 + (0.5x) = 95 + -47.25 (0.5x) = 95 + -47.25 Combine like terms: 95 + -47.25 = 47.75 (0.5x) = 47.75 Divide each side by '0.5'. x = 95.5 Simplifying x = 95.5
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