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Simplifying 25[40 + -1(x + x + 7)] + 5(x + 7) + 10x = 405 Reorder the terms: 25[40 + -1(7 + x + x)] + 5(x + 7) + 10x = 405 Combine like terms: x + x = 2x 25[40 + -1(7 + 2x)] + 5(x + 7) + 10x = 405 25[40 + (7 * -1 + 2x * -1)] + 5(x + 7) + 10x = 405 25[40 + (-7 + -2x)] + 5(x + 7) + 10x = 405 Combine like terms: 40 + -7 = 33 25[33 + -2x] + 5(x + 7) + 10x = 405 [33 * 25 + -2x * 25] + 5(x + 7) + 10x = 405 [825 + -50x] + 5(x + 7) + 10x = 405 Reorder the terms: 825 + -50x + 5(7 + x) + 10x = 405 825 + -50x + (7 * 5 + x * 5) + 10x = 405 825 + -50x + (35 + 5x) + 10x = 405 Reorder the terms: 825 + 35 + -50x + 5x + 10x = 405 Combine like terms: 825 + 35 = 860 860 + -50x + 5x + 10x = 405 Combine like terms: -50x + 5x = -45x 860 + -45x + 10x = 405 Combine like terms: -45x + 10x = -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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