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Simplifying 200(0.115(220 + -1x)) = 500(x + -10) 200((220 * 0.115 + -1x * 0.115)) = 500(x + -10) 200((25.3 + -0.115x)) = 500(x + -10) (25.3 * 200 + -0.115x * 200) = 500(x + -10) (5060 + -23x) = 500(x + -10) Reorder the terms: 5060 + -23x = 500(-10 + x) 5060 + -23x = (-10 * 500 + x * 500) 5060 + -23x = (-5000 + 500x) Solving 5060 + -23x = -5000 + 500x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-500x' to each side of the equation. 5060 + -23x + -500x = -5000 + 500x + -500x Combine like terms: -23x + -500x = -523x 5060 + -523x = -5000 + 500x + -500x Combine like terms: 500x + -500x = 0 5060 + -523x = -5000 + 0 5060 + -523x = -5000 Add '-5060' to each side of the equation. 5060 + -5060 + -523x = -5000 + -5060 Combine like terms: 5060 + -5060 = 0 0 + -523x = -5000 + -5060 -523x = -5000 + -5060 Combine like terms: -5000 + -5060 = -10060 -523x = -10060 Divide each side by '-523'. x = 19.23518164 Simplifying x = 19.23518164
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