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Simplifying -43 + 6x = 12x + 65 Reorder the terms: -43 + 6x = 65 + 12x Solving -43 + 6x = 65 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. -43 + 6x + -12x = 65 + 12x + -12x Combine like terms: 6x + -12x = -6x -43 + -6x = 65 + 12x + -12x Combine like terms: 12x + -12x = 0 -43 + -6x = 65 + 0 -43 + -6x = 65 Add '43' to each side of the equation. -43 + 43 + -6x = 65 + 43 Combine like terms: -43 + 43 = 0 0 + -6x = 65 + 43 -6x = 65 + 43 Combine like terms: 65 + 43 = 108 -6x = 108 Divide each side by '-6'. x = -18 Simplifying x = -18
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