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Simplifying 45 + 45x = 66 + 23x + 31 Reorder the terms: 45 + 45x = 66 + 31 + 23x Combine like terms: 66 + 31 = 97 45 + 45x = 97 + 23x Solving 45 + 45x = 97 + 23x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-23x' to each side of the equation. 45 + 45x + -23x = 97 + 23x + -23x Combine like terms: 45x + -23x = 22x 45 + 22x = 97 + 23x + -23x Combine like terms: 23x + -23x = 0 45 + 22x = 97 + 0 45 + 22x = 97 Add '-45' to each side of the equation. 45 + -45 + 22x = 97 + -45 Combine like terms: 45 + -45 = 0 0 + 22x = 97 + -45 22x = 97 + -45 Combine like terms: 97 + -45 = 52 22x = 52 Divide each side by '22'. x = 2.363636364 Simplifying x = 2.363636364
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