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Simplifying -43 + 11x = 6x + 32 Reorder the terms: -43 + 11x = 32 + 6x Solving -43 + 11x = 32 + 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. -43 + 11x + -6x = 32 + 6x + -6x Combine like terms: 11x + -6x = 5x -43 + 5x = 32 + 6x + -6x Combine like terms: 6x + -6x = 0 -43 + 5x = 32 + 0 -43 + 5x = 32 Add '43' to each side of the equation. -43 + 43 + 5x = 32 + 43 Combine like terms: -43 + 43 = 0 0 + 5x = 32 + 43 5x = 32 + 43 Combine like terms: 32 + 43 = 75 5x = 75 Divide each side by '5'. x = 15 Simplifying x = 15
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