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Simplifying 100x + 30 = 120x + 90 Reorder the terms: 30 + 100x = 120x + 90 Reorder the terms: 30 + 100x = 90 + 120x Solving 30 + 100x = 90 + 120x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-120x' to each side of the equation. 30 + 100x + -120x = 90 + 120x + -120x Combine like terms: 100x + -120x = -20x 30 + -20x = 90 + 120x + -120x Combine like terms: 120x + -120x = 0 30 + -20x = 90 + 0 30 + -20x = 90 Add '-30' to each side of the equation. 30 + -30 + -20x = 90 + -30 Combine like terms: 30 + -30 = 0 0 + -20x = 90 + -30 -20x = 90 + -30 Combine like terms: 90 + -30 = 60 -20x = 60 Divide each side by '-20'. x = -3 Simplifying x = -3
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