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Simplifying 3x + 13 = 83 + -9x Reorder the terms: 13 + 3x = 83 + -9x Solving 13 + 3x = 83 + -9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9x' to each side of the equation. 13 + 3x + 9x = 83 + -9x + 9x Combine like terms: 3x + 9x = 12x 13 + 12x = 83 + -9x + 9x Combine like terms: -9x + 9x = 0 13 + 12x = 83 + 0 13 + 12x = 83 Add '-13' to each side of the equation. 13 + -13 + 12x = 83 + -13 Combine like terms: 13 + -13 = 0 0 + 12x = 83 + -13 12x = 83 + -13 Combine like terms: 83 + -13 = 70 12x = 70 Divide each side by '12'. x = 5.833333333 Simplifying x = 5.833333333
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