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Simplifying 0.5(x + 90) + 0.7x = 81 Reorder the terms: 0.5(90 + x) + 0.7x = 81 (90 * 0.5 + x * 0.5) + 0.7x = 81 (45 + 0.5x) + 0.7x = 81 Combine like terms: 0.5x + 0.7x = 1.2x 45 + 1.2x = 81 Solving 45 + 1.2x = 81 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-45' to each side of the equation. 45 + -45 + 1.2x = 81 + -45 Combine like terms: 45 + -45 = 0 0 + 1.2x = 81 + -45 1.2x = 81 + -45 Combine like terms: 81 + -45 = 36 1.2x = 36 Divide each side by '1.2'. x = 30 Simplifying x = 30
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