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Simplifying 3x + 30 = 24x + -120 Reorder the terms: 30 + 3x = 24x + -120 Reorder the terms: 30 + 3x = -120 + 24x Solving 30 + 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. 30 + 3x + -24x = -120 + 24x + -24x Combine like terms: 3x + -24x = -21x 30 + -21x = -120 + 24x + -24x Combine like terms: 24x + -24x = 0 30 + -21x = -120 + 0 30 + -21x = -120 Add '-30' to each side of the equation. 30 + -30 + -21x = -120 + -30 Combine like terms: 30 + -30 = 0 0 + -21x = -120 + -30 -21x = -120 + -30 Combine like terms: -120 + -30 = -150 -21x = -150 Divide each side by '-21'. x = 7.142857143 Simplifying x = 7.142857143
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