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Simplifying 0.5(x + 10) + 0.7x = 41 Reorder the terms: 0.5(10 + x) + 0.7x = 41 (10 * 0.5 + x * 0.5) + 0.7x = 41 (5 + 0.5x) + 0.7x = 41 Combine like terms: 0.5x + 0.7x = 1.2x 5 + 1.2x = 41 Solving 5 + 1.2x = 41 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 1.2x = 41 + -5 Combine like terms: 5 + -5 = 0 0 + 1.2x = 41 + -5 1.2x = 41 + -5 Combine like terms: 41 + -5 = 36 1.2x = 36 Divide each side by '1.2'. x = 30 Simplifying x = 30
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