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Simplifying 4x + 21 = 12x + -43 Reorder the terms: 21 + 4x = 12x + -43 Reorder the terms: 21 + 4x = -43 + 12x Solving 21 + 4x = -43 + 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. 21 + 4x + -12x = -43 + 12x + -12x Combine like terms: 4x + -12x = -8x 21 + -8x = -43 + 12x + -12x Combine like terms: 12x + -12x = 0 21 + -8x = -43 + 0 21 + -8x = -43 Add '-21' to each side of the equation. 21 + -21 + -8x = -43 + -21 Combine like terms: 21 + -21 = 0 0 + -8x = -43 + -21 -8x = -43 + -21 Combine like terms: -43 + -21 = -64 -8x = -64 Divide each side by '-8'. x = 8 Simplifying x = 8
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