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Simplifying -3(4x + -1) = -2[4 + 8(x + 4)] Reorder the terms: -3(-1 + 4x) = -2[4 + 8(x + 4)] (-1 * -3 + 4x * -3) = -2[4 + 8(x + 4)] (3 + -12x) = -2[4 + 8(x + 4)] Reorder the terms: 3 + -12x = -2[4 + 8(4 + x)] 3 + -12x = -2[4 + (4 * 8 + x * 8)] 3 + -12x = -2[4 + (32 + 8x)] Combine like terms: 4 + 32 = 36 3 + -12x = -2[36 + 8x] 3 + -12x = [36 * -2 + 8x * -2] 3 + -12x = [-72 + -16x] Solving 3 + -12x = -72 + -16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '16x' to each side of the equation. 3 + -12x + 16x = -72 + -16x + 16x Combine like terms: -12x + 16x = 4x 3 + 4x = -72 + -16x + 16x Combine like terms: -16x + 16x = 0 3 + 4x = -72 + 0 3 + 4x = -72 Add '-3' to each side of the equation. 3 + -3 + 4x = -72 + -3 Combine like terms: 3 + -3 = 0 0 + 4x = -72 + -3 4x = -72 + -3 Combine like terms: -72 + -3 = -75 4x = -75 Divide each side by '4'. x = -18.75 Simplifying x = -18.75
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