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Simplifying 83 + 2x = 38 + -3x Solving 83 + 2x = 38 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 83 + 2x + 3x = 38 + -3x + 3x Combine like terms: 2x + 3x = 5x 83 + 5x = 38 + -3x + 3x Combine like terms: -3x + 3x = 0 83 + 5x = 38 + 0 83 + 5x = 38 Add '-83' to each side of the equation. 83 + -83 + 5x = 38 + -83 Combine like terms: 83 + -83 = 0 0 + 5x = 38 + -83 5x = 38 + -83 Combine like terms: 38 + -83 = -45 5x = -45 Divide each side by '5'. x = -9 Simplifying x = -9
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