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Simplifying 70x + 20(450 + -1x) = 70 * 450 70x + (450 * 20 + -1x * 20) = 70 * 450 70x + (9000 + -20x) = 70 * 450 Reorder the terms: 9000 + 70x + -20x = 70 * 450 Combine like terms: 70x + -20x = 50x 9000 + 50x = 70 * 450 Multiply 70 * 450 9000 + 50x = 31500 Solving 9000 + 50x = 31500 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9000' to each side of the equation. 9000 + -9000 + 50x = 31500 + -9000 Combine like terms: 9000 + -9000 = 0 0 + 50x = 31500 + -9000 50x = 31500 + -9000 Combine like terms: 31500 + -9000 = 22500 50x = 22500 Divide each side by '50'. x = 450 Simplifying x = 450
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