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Simplifying 4x + 21 = 9x + -24 Reorder the terms: 21 + 4x = 9x + -24 Reorder the terms: 21 + 4x = -24 + 9x Solving 21 + 4x = -24 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 21 + 4x + -9x = -24 + 9x + -9x Combine like terms: 4x + -9x = -5x 21 + -5x = -24 + 9x + -9x Combine like terms: 9x + -9x = 0 21 + -5x = -24 + 0 21 + -5x = -24 Add '-21' to each side of the equation. 21 + -21 + -5x = -24 + -21 Combine like terms: 21 + -21 = 0 0 + -5x = -24 + -21 -5x = -24 + -21 Combine like terms: -24 + -21 = -45 -5x = -45 Divide each side by '-5'. x = 9 Simplifying x = 9
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