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Simplifying x + 10x + 25(48 + -2x) = 342 x + 10x + (48 * 25 + -2x * 25) = 342 x + 10x + (1200 + -50x) = 342 Reorder the terms: 1200 + x + 10x + -50x = 342 Combine like terms: x + 10x = 11x 1200 + 11x + -50x = 342 Combine like terms: 11x + -50x = -39x 1200 + -39x = 342 Solving 1200 + -39x = 342 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1200' to each side of the equation. 1200 + -1200 + -39x = 342 + -1200 Combine like terms: 1200 + -1200 = 0 0 + -39x = 342 + -1200 -39x = 342 + -1200 Combine like terms: 342 + -1200 = -858 -39x = -858 Divide each side by '-39'. x = 22 Simplifying x = 22
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