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Simplifying 2(6x + 1) + 2(2x + 5) = 120 Reorder the terms: 2(1 + 6x) + 2(2x + 5) = 120 (1 * 2 + 6x * 2) + 2(2x + 5) = 120 (2 + 12x) + 2(2x + 5) = 120 Reorder the terms: 2 + 12x + 2(5 + 2x) = 120 2 + 12x + (5 * 2 + 2x * 2) = 120 2 + 12x + (10 + 4x) = 120 Reorder the terms: 2 + 10 + 12x + 4x = 120 Combine like terms: 2 + 10 = 12 12 + 12x + 4x = 120 Combine like terms: 12x + 4x = 16x 12 + 16x = 120 Solving 12 + 16x = 120 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + 16x = 120 + -12 Combine like terms: 12 + -12 = 0 0 + 16x = 120 + -12 16x = 120 + -12 Combine like terms: 120 + -12 = 108 16x = 108 Divide each side by '16'. x = 6.75 Simplifying x = 6.75
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