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Simplifying x + 4x + 24 = -9 + -4x + -12 Reorder the terms: 24 + x + 4x = -9 + -4x + -12 Combine like terms: x + 4x = 5x 24 + 5x = -9 + -4x + -12 Reorder the terms: 24 + 5x = -9 + -12 + -4x Combine like terms: -9 + -12 = -21 24 + 5x = -21 + -4x Solving 24 + 5x = -21 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 24 + 5x + 4x = -21 + -4x + 4x Combine like terms: 5x + 4x = 9x 24 + 9x = -21 + -4x + 4x Combine like terms: -4x + 4x = 0 24 + 9x = -21 + 0 24 + 9x = -21 Add '-24' to each side of the equation. 24 + -24 + 9x = -21 + -24 Combine like terms: 24 + -24 = 0 0 + 9x = -21 + -24 9x = -21 + -24 Combine like terms: -21 + -24 = -45 9x = -45 Divide each side by '9'. x = -5 Simplifying x = -5
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