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Simplifying x + 21 = -5x + -9 Reorder the terms: 21 + x = -5x + -9 Reorder the terms: 21 + x = -9 + -5x Solving 21 + x = -9 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. 21 + x + 5x = -9 + -5x + 5x Combine like terms: x + 5x = 6x 21 + 6x = -9 + -5x + 5x Combine like terms: -5x + 5x = 0 21 + 6x = -9 + 0 21 + 6x = -9 Add '-21' to each side of the equation. 21 + -21 + 6x = -9 + -21 Combine like terms: 21 + -21 = 0 0 + 6x = -9 + -21 6x = -9 + -21 Combine like terms: -9 + -21 = -30 6x = -30 Divide each side by '6'. x = -5 Simplifying x = -5
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