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Simplifying 6x + -43 = -2x + 21 Reorder the terms: -43 + 6x = -2x + 21 Reorder the terms: -43 + 6x = 21 + -2x Solving -43 + 6x = 21 + -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 = 21 + -2x + 2x Combine like terms: 6x + 2x = 8x -43 + 8x = 21 + -2x + 2x Combine like terms: -2x + 2x = 0 -43 + 8x = 21 + 0 -43 + 8x = 21 Add '43' to each side of the equation. -43 + 43 + 8x = 21 + 43 Combine like terms: -43 + 43 = 0 0 + 8x = 21 + 43 8x = 21 + 43 Combine like terms: 21 + 43 = 64 8x = 64 Divide each side by '8'. x = 8 Simplifying x = 8
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