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Simplifying 2(6 + -1) + 2(2x + 5) = 120 Combine like terms: 6 + -1 = 5 2(5) + 2(2x + 5) = 120 Multiply 2 * 5 10 + 2(2x + 5) = 120 Reorder the terms: 10 + 2(5 + 2x) = 120 10 + (5 * 2 + 2x * 2) = 120 10 + (10 + 4x) = 120 Combine like terms: 10 + 10 = 20 20 + 4x = 120 Solving 20 + 4x = 120 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + -20 + 4x = 120 + -20 Combine like terms: 20 + -20 = 0 0 + 4x = 120 + -20 4x = 120 + -20 Combine like terms: 120 + -20 = 100 4x = 100 Divide each side by '4'. x = 25 Simplifying x = 25
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