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Simplifying 6x + -43 = 65 + 2x Reorder the terms: -43 + 6x = 65 + 2x Solving -43 + 6x = 65 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -43 + 6x + -2x = 65 + 2x + -2x Combine like terms: 6x + -2x = 4x -43 + 4x = 65 + 2x + -2x Combine like terms: 2x + -2x = 0 -43 + 4x = 65 + 0 -43 + 4x = 65 Add '43' to each side of the equation. -43 + 43 + 4x = 65 + 43 Combine like terms: -43 + 43 = 0 0 + 4x = 65 + 43 4x = 65 + 43 Combine like terms: 65 + 43 = 108 4x = 108 Divide each side by '4'. x = 27 Simplifying x = 27
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