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Simplifying 2350 = 100x + 25(58 + -1x) 2350 = 100x + (58 * 25 + -1x * 25) 2350 = 100x + (1450 + -25x) Reorder the terms: 2350 = 1450 + 100x + -25x Combine like terms: 100x + -25x = 75x 2350 = 1450 + 75x Solving 2350 = 1450 + 75x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-75x' to each side of the equation. 2350 + -75x = 1450 + 75x + -75x Combine like terms: 75x + -75x = 0 2350 + -75x = 1450 + 0 2350 + -75x = 1450 Add '-2350' to each side of the equation. 2350 + -2350 + -75x = 1450 + -2350 Combine like terms: 2350 + -2350 = 0 0 + -75x = 1450 + -2350 -75x = 1450 + -2350 Combine like terms: 1450 + -2350 = -900 -75x = -900 Divide each side by '-75'. x = 12 Simplifying x = 12
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