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Simplifying 5(40 + -1(40 + -1x)) + 10(40 + -1x) + 25x = 405 5(40 + (40 * -1 + -1x * -1)) + 10(40 + -1x) + 25x = 405 5(40 + (-40 + 1x)) + 10(40 + -1x) + 25x = 405 Combine like terms: 40 + -40 = 0 5(0 + 1x) + 10(40 + -1x) + 25x = 405 5(1x) + 10(40 + -1x) + 25x = 405 Remove parenthesis around (1x) 5 * 1x + 10(40 + -1x) + 25x = 405 Multiply 5 * 1 5x + 10(40 + -1x) + 25x = 405 5x + (40 * 10 + -1x * 10) + 25x = 405 5x + (400 + -10x) + 25x = 405 Reorder the terms: 400 + 5x + -10x + 25x = 405 Combine like terms: 5x + -10x = -5x 400 + -5x + 25x = 405 Combine like terms: -5x + 25x = 20x 400 + 20x = 405 Solving 400 + 20x = 405 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-400' to each side of the equation. 400 + -400 + 20x = 405 + -400 Combine like terms: 400 + -400 = 0 0 + 20x = 405 + -400 20x = 405 + -400 Combine like terms: 405 + -400 = 5 20x = 5 Divide each side by '20'. x = 0.25 Simplifying x = 0.25
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