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Simplifying 10x + 100(97 + -1x) = 5200 10x + (97 * 100 + -1x * 100) = 5200 10x + (9700 + -100x) = 5200 Reorder the terms: 9700 + 10x + -100x = 5200 Combine like terms: 10x + -100x = -90x 9700 + -90x = 5200 Solving 9700 + -90x = 5200 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9700' to each side of the equation. 9700 + -9700 + -90x = 5200 + -9700 Combine like terms: 9700 + -9700 = 0 0 + -90x = 5200 + -9700 -90x = 5200 + -9700 Combine like terms: 5200 + -9700 = -4500 -90x = -4500 Divide each side by '-90'. x = 50 Simplifying x = 50
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