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Simplifying 2(5x + 30) = 120 + 8x Reorder the terms: 2(30 + 5x) = 120 + 8x (30 * 2 + 5x * 2) = 120 + 8x (60 + 10x) = 120 + 8x Solving 60 + 10x = 120 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 60 + 10x + -8x = 120 + 8x + -8x Combine like terms: 10x + -8x = 2x 60 + 2x = 120 + 8x + -8x Combine like terms: 8x + -8x = 0 60 + 2x = 120 + 0 60 + 2x = 120 Add '-60' to each side of the equation. 60 + -60 + 2x = 120 + -60 Combine like terms: 60 + -60 = 0 0 + 2x = 120 + -60 2x = 120 + -60 Combine like terms: 120 + -60 = 60 2x = 60 Divide each side by '2'. x = 30 Simplifying x = 30
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