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Simplifying 0.5(11 + x) * 10 = 85 Reorder the terms for easier multiplication: 0.5 * 10(11 + x) = 85 Multiply 0.5 * 10 5(11 + x) = 85 (11 * 5 + x * 5) = 85 (55 + 5x) = 85 Solving 55 + 5x = 85 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-55' to each side of the equation. 55 + -55 + 5x = 85 + -55 Combine like terms: 55 + -55 = 0 0 + 5x = 85 + -55 5x = 85 + -55 Combine like terms: 85 + -55 = 30 5x = 30 Divide each side by '5'. x = 6 Simplifying x = 6
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