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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 = 8 8 + 12x + 4x = 120 Combine like terms: 12x + 4x = 16x 8 + 16x = 120 Solving 8 + 16x = 120 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 16x = 120 + -8 Combine like terms: 8 + -8 = 0 0 + 16x = 120 + -8 16x = 120 + -8 Combine like terms: 120 + -8 = 112 16x = 112 Divide each side by '16'. x = 7 Simplifying x = 7
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