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Simplifying 2[(4x + -2) + 16] = 6(x + 15) Reorder the terms: 2[(-2 + 4x) + 16] = 6(x + 15) Remove parenthesis around (-2 + 4x) 2[-2 + 4x + 16] = 6(x + 15) Reorder the terms: 2[-2 + 16 + 4x] = 6(x + 15) Combine like terms: -2 + 16 = 14 2[14 + 4x] = 6(x + 15) [14 * 2 + 4x * 2] = 6(x + 15) [28 + 8x] = 6(x + 15) Reorder the terms: 28 + 8x = 6(15 + x) 28 + 8x = (15 * 6 + x * 6) 28 + 8x = (90 + 6x) Solving 28 + 8x = 90 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 28 + 8x + -6x = 90 + 6x + -6x Combine like terms: 8x + -6x = 2x 28 + 2x = 90 + 6x + -6x Combine like terms: 6x + -6x = 0 28 + 2x = 90 + 0 28 + 2x = 90 Add '-28' to each side of the equation. 28 + -28 + 2x = 90 + -28 Combine like terms: 28 + -28 = 0 0 + 2x = 90 + -28 2x = 90 + -28 Combine like terms: 90 + -28 = 62 2x = 62 Divide each side by '2'. x = 31 Simplifying x = 31
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