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Simplifying 2[4(x + -2) + 16] = 6(x + 5) Reorder the terms: 2[4(-2 + x) + 16] = 6(x + 5) 2[(-2 * 4 + x * 4) + 16] = 6(x + 5) 2[(-8 + 4x) + 16] = 6(x + 5) Reorder the terms: 2[-8 + 16 + 4x] = 6(x + 5) Combine like terms: -8 + 16 = 8 2[8 + 4x] = 6(x + 5) [8 * 2 + 4x * 2] = 6(x + 5) [16 + 8x] = 6(x + 5) Reorder the terms: 16 + 8x = 6(5 + x) 16 + 8x = (5 * 6 + x * 6) 16 + 8x = (30 + 6x) Solving 16 + 8x = 30 + 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. 16 + 8x + -6x = 30 + 6x + -6x Combine like terms: 8x + -6x = 2x 16 + 2x = 30 + 6x + -6x Combine like terms: 6x + -6x = 0 16 + 2x = 30 + 0 16 + 2x = 30 Add '-16' to each side of the equation. 16 + -16 + 2x = 30 + -16 Combine like terms: 16 + -16 = 0 0 + 2x = 30 + -16 2x = 30 + -16 Combine like terms: 30 + -16 = 14 2x = 14 Divide each side by '2'. x = 7 Simplifying x = 7
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