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Simplifying 83 + -2x = 3x + 13 Reorder the terms: 83 + -2x = 13 + 3x Solving 83 + -2x = 13 + 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 = 13 + 3x + -3x Combine like terms: -2x + -3x = -5x 83 + -5x = 13 + 3x + -3x Combine like terms: 3x + -3x = 0 83 + -5x = 13 + 0 83 + -5x = 13 Add '-83' to each side of the equation. 83 + -83 + -5x = 13 + -83 Combine like terms: 83 + -83 = 0 0 + -5x = 13 + -83 -5x = 13 + -83 Combine like terms: 13 + -83 = -70 -5x = -70 Divide each side by '-5'. x = 14 Simplifying x = 14
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