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Simplifying 3[x + 6 + 2(2x + 1)] = 2x + 6(2x + 6) Reorder the terms: 3[x + 6 + 2(1 + 2x)] = 2x + 6(2x + 6) 3[x + 6 + (1 * 2 + 2x * 2)] = 2x + 6(2x + 6) 3[x + 6 + (2 + 4x)] = 2x + 6(2x + 6) Reorder the terms: 3[6 + 2 + x + 4x] = 2x + 6(2x + 6) Combine like terms: 6 + 2 = 8 3[8 + x + 4x] = 2x + 6(2x + 6) Combine like terms: x + 4x = 5x 3[8 + 5x] = 2x + 6(2x + 6) [8 * 3 + 5x * 3] = 2x + 6(2x + 6) [24 + 15x] = 2x + 6(2x + 6) Reorder the terms: 24 + 15x = 2x + 6(6 + 2x) 24 + 15x = 2x + (6 * 6 + 2x * 6) 24 + 15x = 2x + (36 + 12x) Reorder the terms: 24 + 15x = 36 + 2x + 12x Combine like terms: 2x + 12x = 14x 24 + 15x = 36 + 14x Solving 24 + 15x = 36 + 14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. 24 + 15x + -14x = 36 + 14x + -14x Combine like terms: 15x + -14x = 1x 24 + 1x = 36 + 14x + -14x Combine like terms: 14x + -14x = 0 24 + 1x = 36 + 0 24 + 1x = 36 Add '-24' to each side of the equation. 24 + -24 + 1x = 36 + -24 Combine like terms: 24 + -24 = 0 0 + 1x = 36 + -24 1x = 36 + -24 Combine like terms: 36 + -24 = 12 1x = 12 Divide each side by '1'. x = 12 Simplifying x = 12
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