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Simplifying 3x + 21 = 12x + -24 Reorder the terms: 21 + 3x = 12x + -24 Reorder the terms: 21 + 3x = -24 + 12x Solving 21 + 3x = -24 + 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 + 3x + -12x = -24 + 12x + -12x Combine like terms: 3x + -12x = -9x 21 + -9x = -24 + 12x + -12x Combine like terms: 12x + -12x = 0 21 + -9x = -24 + 0 21 + -9x = -24 Add '-21' to each side of the equation. 21 + -21 + -9x = -24 + -21 Combine like terms: 21 + -21 = 0 0 + -9x = -24 + -21 -9x = -24 + -21 Combine like terms: -24 + -21 = -45 -9x = -45 Divide each side by '-9'. x = 5 Simplifying x = 5
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