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Simplifying 23(x + -6) = 54(x + -8) Reorder the terms: 23(-6 + x) = 54(x + -8) (-6 * 23 + x * 23) = 54(x + -8) (-138 + 23x) = 54(x + -8) Reorder the terms: -138 + 23x = 54(-8 + x) -138 + 23x = (-8 * 54 + x * 54) -138 + 23x = (-432 + 54x) Solving -138 + 23x = -432 + 54x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-54x' to each side of the equation. -138 + 23x + -54x = -432 + 54x + -54x Combine like terms: 23x + -54x = -31x -138 + -31x = -432 + 54x + -54x Combine like terms: 54x + -54x = 0 -138 + -31x = -432 + 0 -138 + -31x = -432 Add '138' to each side of the equation. -138 + 138 + -31x = -432 + 138 Combine like terms: -138 + 138 = 0 0 + -31x = -432 + 138 -31x = -432 + 138 Combine like terms: -432 + 138 = -294 -31x = -294 Divide each side by '-31'. x = 9.483870968 Simplifying x = 9.483870968
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