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Simplifying 3x + 120 = 2x + 150 Reorder the terms: 120 + 3x = 2x + 150 Reorder the terms: 120 + 3x = 150 + 2x Solving 120 + 3x = 150 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 120 + 3x + -2x = 150 + 2x + -2x Combine like terms: 3x + -2x = 1x 120 + 1x = 150 + 2x + -2x Combine like terms: 2x + -2x = 0 120 + 1x = 150 + 0 120 + 1x = 150 Add '-120' to each side of the equation. 120 + -120 + 1x = 150 + -120 Combine like terms: 120 + -120 = 0 0 + 1x = 150 + -120 1x = 150 + -120 Combine like terms: 150 + -120 = 30 1x = 30 Divide each side by '1'. x = 30 Simplifying x = 30
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