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Simplifying 3x + 27 = 24x + -120 Reorder the terms: 27 + 3x = 24x + -120 Reorder the terms: 27 + 3x = -120 + 24x Solving 27 + 3x = -120 + 24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24x' to each side of the equation. 27 + 3x + -24x = -120 + 24x + -24x Combine like terms: 3x + -24x = -21x 27 + -21x = -120 + 24x + -24x Combine like terms: 24x + -24x = 0 27 + -21x = -120 + 0 27 + -21x = -120 Add '-27' to each side of the equation. 27 + -27 + -21x = -120 + -27 Combine like terms: 27 + -27 = 0 0 + -21x = -120 + -27 -21x = -120 + -27 Combine like terms: -120 + -27 = -147 -21x = -147 Divide each side by '-21'. x = 7 Simplifying x = 7
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