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Simplifying -42 + 11x = 6x + 83 Reorder the terms: -42 + 11x = 83 + 6x Solving -42 + 11x = 83 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -42 + 11x + -6x = 83 + 6x + -6x Combine like terms: 11x + -6x = 5x -42 + 5x = 83 + 6x + -6x Combine like terms: 6x + -6x = 0 -42 + 5x = 83 + 0 -42 + 5x = 83 Add '42' to each side of the equation. -42 + 42 + 5x = 83 + 42 Combine like terms: -42 + 42 = 0 0 + 5x = 83 + 42 5x = 83 + 42 Combine like terms: 83 + 42 = 125 5x = 125 Divide each side by '5'. x = 25 Simplifying x = 25
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