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Simplifying 5((40 + -1x) + 7) + 10(40 + -1x) + 25x = 405 Remove parenthesis around (40 + -1x) 5(40 + -1x + 7) + 10(40 + -1x) + 25x = 405 Reorder the terms: 5(40 + 7 + -1x) + 10(40 + -1x) + 25x = 405 Combine like terms: 40 + 7 = 47 5(47 + -1x) + 10(40 + -1x) + 25x = 405 (47 * 5 + -1x * 5) + 10(40 + -1x) + 25x = 405 (235 + -5x) + 10(40 + -1x) + 25x = 405 235 + -5x + (40 * 10 + -1x * 10) + 25x = 405 235 + -5x + (400 + -10x) + 25x = 405 Reorder the terms: 235 + 400 + -5x + -10x + 25x = 405 Combine like terms: 235 + 400 = 635 635 + -5x + -10x + 25x = 405 Combine like terms: -5x + -10x = -15x 635 + -15x + 25x = 405 Combine like terms: -15x + 25x = 10x 635 + 10x = 405 Solving 635 + 10x = 405 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-635' to each side of the equation. 635 + -635 + 10x = 405 + -635 Combine like terms: 635 + -635 = 0 0 + 10x = 405 + -635 10x = 405 + -635 Combine like terms: 405 + -635 = -230 10x = -230 Divide each side by '10'. x = -23 Simplifying x = -23
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