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Simplifying x + 10x + 25(35 + -2x) = 407 x + 10x + (35 * 25 + -2x * 25) = 407 x + 10x + (875 + -50x) = 407 Reorder the terms: 875 + x + 10x + -50x = 407 Combine like terms: x + 10x = 11x 875 + 11x + -50x = 407 Combine like terms: 11x + -50x = -39x 875 + -39x = 407 Solving 875 + -39x = 407 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-875' to each side of the equation. 875 + -875 + -39x = 407 + -875 Combine like terms: 875 + -875 = 0 0 + -39x = 407 + -875 -39x = 407 + -875 Combine like terms: 407 + -875 = -468 -39x = -468 Divide each side by '-39'. x = 12 Simplifying x = 12
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