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Simplifying 3x + 120 = 5x + 40 Reorder the terms: 120 + 3x = 5x + 40 Reorder the terms: 120 + 3x = 40 + 5x Solving 120 + 3x = 40 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 120 + 3x + -5x = 40 + 5x + -5x Combine like terms: 3x + -5x = -2x 120 + -2x = 40 + 5x + -5x Combine like terms: 5x + -5x = 0 120 + -2x = 40 + 0 120 + -2x = 40 Add '-120' to each side of the equation. 120 + -120 + -2x = 40 + -120 Combine like terms: 120 + -120 = 0 0 + -2x = 40 + -120 -2x = 40 + -120 Combine like terms: 40 + -120 = -80 -2x = -80 Divide each side by '-2'. x = 40 Simplifying x = 40
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