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Simplifying -23 + 11x = 6x + 42 Reorder the terms: -23 + 11x = 42 + 6x Solving -23 + 11x = 42 + 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. -23 + 11x + -6x = 42 + 6x + -6x Combine like terms: 11x + -6x = 5x -23 + 5x = 42 + 6x + -6x Combine like terms: 6x + -6x = 0 -23 + 5x = 42 + 0 -23 + 5x = 42 Add '23' to each side of the equation. -23 + 23 + 5x = 42 + 23 Combine like terms: -23 + 23 = 0 0 + 5x = 42 + 23 5x = 42 + 23 Combine like terms: 42 + 23 = 65 5x = 65 Divide each side by '5'. x = 13 Simplifying x = 13
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