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Simplifying 5(x + 7) + 10x + 25(33 + -2x) = 405 Reorder the terms: 5(7 + x) + 10x + 25(33 + -2x) = 405 (7 * 5 + x * 5) + 10x + 25(33 + -2x) = 405 (35 + 5x) + 10x + 25(33 + -2x) = 405 35 + 5x + 10x + (33 * 25 + -2x * 25) = 405 35 + 5x + 10x + (825 + -50x) = 405 Reorder the terms: 35 + 825 + 5x + 10x + -50x = 405 Combine like terms: 35 + 825 = 860 860 + 5x + 10x + -50x = 405 Combine like terms: 5x + 10x = 15x 860 + 15x + -50x = 405 Combine like terms: 15x + -50x = -35x 860 + -35x = 405 Solving 860 + -35x = 405 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-860' to each side of the equation. 860 + -860 + -35x = 405 + -860 Combine like terms: 860 + -860 = 0 0 + -35x = 405 + -860 -35x = 405 + -860 Combine like terms: 405 + -860 = -455 -35x = -455 Divide each side by '-35'. x = 13 Simplifying x = 13
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