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Simplifying 3[8x + -4(x + -2)] = 6(x + 7) Reorder the terms: 3[8x + -4(-2 + x)] = 6(x + 7) 3[8x + (-2 * -4 + x * -4)] = 6(x + 7) 3[8x + (8 + -4x)] = 6(x + 7) Reorder the terms: 3[8 + 8x + -4x] = 6(x + 7) Combine like terms: 8x + -4x = 4x 3[8 + 4x] = 6(x + 7) [8 * 3 + 4x * 3] = 6(x + 7) [24 + 12x] = 6(x + 7) Reorder the terms: 24 + 12x = 6(7 + x) 24 + 12x = (7 * 6 + x * 6) 24 + 12x = (42 + 6x) Solving 24 + 12x = 42 + 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. 24 + 12x + -6x = 42 + 6x + -6x Combine like terms: 12x + -6x = 6x 24 + 6x = 42 + 6x + -6x Combine like terms: 6x + -6x = 0 24 + 6x = 42 + 0 24 + 6x = 42 Add '-24' to each side of the equation. 24 + -24 + 6x = 42 + -24 Combine like terms: 24 + -24 = 0 0 + 6x = 42 + -24 6x = 42 + -24 Combine like terms: 42 + -24 = 18 6x = 18 Divide each side by '6'. x = 3 Simplifying x = 3
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