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Simplifying 5(106 + -1x) + 50(x) = 3005 (106 * 5 + -1x * 5) + 50(x) = 3005 (530 + -5x) + 50(x) = 3005 Combine like terms: -5x + 50x = 45x 530 + 45x = 3005 Solving 530 + 45x = 3005 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-530' to each side of the equation. 530 + -530 + 45x = 3005 + -530 Combine like terms: 530 + -530 = 0 0 + 45x = 3005 + -530 45x = 3005 + -530 Combine like terms: 3005 + -530 = 2475 45x = 2475 Divide each side by '45'. x = 55 Simplifying x = 55
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