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Simplifying 78 + 5x = 3x + 120 Reorder the terms: 78 + 5x = 120 + 3x Solving 78 + 5x = 120 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 78 + 5x + -3x = 120 + 3x + -3x Combine like terms: 5x + -3x = 2x 78 + 2x = 120 + 3x + -3x Combine like terms: 3x + -3x = 0 78 + 2x = 120 + 0 78 + 2x = 120 Add '-78' to each side of the equation. 78 + -78 + 2x = 120 + -78 Combine like terms: 78 + -78 = 0 0 + 2x = 120 + -78 2x = 120 + -78 Combine like terms: 120 + -78 = 42 2x = 42 Divide each side by '2'. x = 21 Simplifying x = 21
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