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Simplifying 340(230 + -1x) = 310(230 + x) (230 * 340 + -1x * 340) = 310(230 + x) (78200 + -340x) = 310(230 + x) 78200 + -340x = (230 * 310 + x * 310) 78200 + -340x = (71300 + 310x) Solving 78200 + -340x = 71300 + 310x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-310x' to each side of the equation. 78200 + -340x + -310x = 71300 + 310x + -310x Combine like terms: -340x + -310x = -650x 78200 + -650x = 71300 + 310x + -310x Combine like terms: 310x + -310x = 0 78200 + -650x = 71300 + 0 78200 + -650x = 71300 Add '-78200' to each side of the equation. 78200 + -78200 + -650x = 71300 + -78200 Combine like terms: 78200 + -78200 = 0 0 + -650x = 71300 + -78200 -650x = 71300 + -78200 Combine like terms: 71300 + -78200 = -6900 -650x = -6900 Divide each side by '-650'. x = 10.61538462 Simplifying x = 10.61538462
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