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Simplifying 38x + 40 = 23 + 49x Reorder the terms: 40 + 38x = 23 + 49x Solving 40 + 38x = 23 + 49x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-49x' to each side of the equation. 40 + 38x + -49x = 23 + 49x + -49x Combine like terms: 38x + -49x = -11x 40 + -11x = 23 + 49x + -49x Combine like terms: 49x + -49x = 0 40 + -11x = 23 + 0 40 + -11x = 23 Add '-40' to each side of the equation. 40 + -40 + -11x = 23 + -40 Combine like terms: 40 + -40 = 0 0 + -11x = 23 + -40 -11x = 23 + -40 Combine like terms: 23 + -40 = -17 -11x = -17 Divide each side by '-11'. x = 1.545454545 Simplifying x = 1.545454545
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