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Simplifying 23(220 + -1x) = 50(x + -10) (220 * 23 + -1x * 23) = 50(x + -10) (5060 + -23x) = 50(x + -10) Reorder the terms: 5060 + -23x = 50(-10 + x) 5060 + -23x = (-10 * 50 + x * 50) 5060 + -23x = (-500 + 50x) Solving 5060 + -23x = -500 + 50x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-50x' to each side of the equation. 5060 + -23x + -50x = -500 + 50x + -50x Combine like terms: -23x + -50x = -73x 5060 + -73x = -500 + 50x + -50x Combine like terms: 50x + -50x = 0 5060 + -73x = -500 + 0 5060 + -73x = -500 Add '-5060' to each side of the equation. 5060 + -5060 + -73x = -500 + -5060 Combine like terms: 5060 + -5060 = 0 0 + -73x = -500 + -5060 -73x = -500 + -5060 Combine like terms: -500 + -5060 = -5560 -73x = -5560 Divide each side by '-73'. x = 76.16438356 Simplifying x = 76.16438356
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