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Simplifying 3x + 13 = 83 + -43x Reorder the terms: 13 + 3x = 83 + -43x Solving 13 + 3x = 83 + -43x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '43x' to each side of the equation. 13 + 3x + 43x = 83 + -43x + 43x Combine like terms: 3x + 43x = 46x 13 + 46x = 83 + -43x + 43x Combine like terms: -43x + 43x = 0 13 + 46x = 83 + 0 13 + 46x = 83 Add '-13' to each side of the equation. 13 + -13 + 46x = 83 + -13 Combine like terms: 13 + -13 = 0 0 + 46x = 83 + -13 46x = 83 + -13 Combine like terms: 83 + -13 = 70 46x = 70 Divide each side by '46'. x = 1.52173913 Simplifying x = 1.52173913
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