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Simplifying -83 + 18x = 13x + 42 Reorder the terms: -83 + 18x = 42 + 13x Solving -83 + 18x = 42 + 13x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-13x' to each side of the equation. -83 + 18x + -13x = 42 + 13x + -13x Combine like terms: 18x + -13x = 5x -83 + 5x = 42 + 13x + -13x Combine like terms: 13x + -13x = 0 -83 + 5x = 42 + 0 -83 + 5x = 42 Add '83' to each side of the equation. -83 + 83 + 5x = 42 + 83 Combine like terms: -83 + 83 = 0 0 + 5x = 42 + 83 5x = 42 + 83 Combine like terms: 42 + 83 = 125 5x = 125 Divide each side by '5'. x = 25 Simplifying x = 25
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