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Simplifying 8x + 35 = 3x + 120 Reorder the terms: 35 + 8x = 3x + 120 Reorder the terms: 35 + 8x = 120 + 3x Solving 35 + 8x = 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. 35 + 8x + -3x = 120 + 3x + -3x Combine like terms: 8x + -3x = 5x 35 + 5x = 120 + 3x + -3x Combine like terms: 3x + -3x = 0 35 + 5x = 120 + 0 35 + 5x = 120 Add '-35' to each side of the equation. 35 + -35 + 5x = 120 + -35 Combine like terms: 35 + -35 = 0 0 + 5x = 120 + -35 5x = 120 + -35 Combine like terms: 120 + -35 = 85 5x = 85 Divide each side by '5'. x = 17 Simplifying x = 17
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