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Simplifying 8x + -43 = 2x + 29 Reorder the terms: -43 + 8x = 2x + 29 Reorder the terms: -43 + 8x = 29 + 2x Solving -43 + 8x = 29 + 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 + 8x + -2x = 29 + 2x + -2x Combine like terms: 8x + -2x = 6x -43 + 6x = 29 + 2x + -2x Combine like terms: 2x + -2x = 0 -43 + 6x = 29 + 0 -43 + 6x = 29 Add '43' to each side of the equation. -43 + 43 + 6x = 29 + 43 Combine like terms: -43 + 43 = 0 0 + 6x = 29 + 43 6x = 29 + 43 Combine like terms: 29 + 43 = 72 6x = 72 Divide each side by '6'. x = 12 Simplifying x = 12
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