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Simplifying x + 10x + 25(49 + -2x) = 562 x + 10x + (49 * 25 + -2x * 25) = 562 x + 10x + (1225 + -50x) = 562 Reorder the terms: 1225 + x + 10x + -50x = 562 Combine like terms: x + 10x = 11x 1225 + 11x + -50x = 562 Combine like terms: 11x + -50x = -39x 1225 + -39x = 562 Solving 1225 + -39x = 562 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1225' to each side of the equation. 1225 + -1225 + -39x = 562 + -1225 Combine like terms: 1225 + -1225 = 0 0 + -39x = 562 + -1225 -39x = 562 + -1225 Combine like terms: 562 + -1225 = -663 -39x = -663 Divide each side by '-39'. x = 17 Simplifying x = 17
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