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Simplifying -43 + 9x = 6x + 35 Reorder the terms: -43 + 9x = 35 + 6x Solving -43 + 9x = 35 + 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 + 9x + -6x = 35 + 6x + -6x Combine like terms: 9x + -6x = 3x -43 + 3x = 35 + 6x + -6x Combine like terms: 6x + -6x = 0 -43 + 3x = 35 + 0 -43 + 3x = 35 Add '43' to each side of the equation. -43 + 43 + 3x = 35 + 43 Combine like terms: -43 + 43 = 0 0 + 3x = 35 + 43 3x = 35 + 43 Combine like terms: 35 + 43 = 78 3x = 78 Divide each side by '3'. x = 26 Simplifying x = 26
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