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Simplifying -42 + 3x = 2x + 83 Reorder the terms: -42 + 3x = 83 + 2x Solving -42 + 3x = 83 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -42 + 3x + -2x = 83 + 2x + -2x Combine like terms: 3x + -2x = 1x -42 + 1x = 83 + 2x + -2x Combine like terms: 2x + -2x = 0 -42 + 1x = 83 + 0 -42 + 1x = 83 Add '42' to each side of the equation. -42 + 42 + 1x = 83 + 42 Combine like terms: -42 + 42 = 0 0 + 1x = 83 + 42 1x = 83 + 42 Combine like terms: 83 + 42 = 125 1x = 125 Divide each side by '1'. x = 125 Simplifying x = 125
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