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Simplifying 10x + 100(101 + -1x) = 5780 10x + (101 * 100 + -1x * 100) = 5780 10x + (10100 + -100x) = 5780 Reorder the terms: 10100 + 10x + -100x = 5780 Combine like terms: 10x + -100x = -90x 10100 + -90x = 5780 Solving 10100 + -90x = 5780 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10100' to each side of the equation. 10100 + -10100 + -90x = 5780 + -10100 Combine like terms: 10100 + -10100 = 0 0 + -90x = 5780 + -10100 -90x = 5780 + -10100 Combine like terms: 5780 + -10100 = -4320 -90x = -4320 Divide each side by '-90'. x = 48 Simplifying x = 48
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