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Simplifying -2(8 + -6x) = 4(x + 8) (8 * -2 + -6x * -2) = 4(x + 8) (-16 + 12x) = 4(x + 8) Reorder the terms: -16 + 12x = 4(8 + x) -16 + 12x = (8 * 4 + x * 4) -16 + 12x = (32 + 4x) Solving -16 + 12x = 32 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -16 + 12x + -4x = 32 + 4x + -4x Combine like terms: 12x + -4x = 8x -16 + 8x = 32 + 4x + -4x Combine like terms: 4x + -4x = 0 -16 + 8x = 32 + 0 -16 + 8x = 32 Add '16' to each side of the equation. -16 + 16 + 8x = 32 + 16 Combine like terms: -16 + 16 = 0 0 + 8x = 32 + 16 8x = 32 + 16 Combine like terms: 32 + 16 = 48 8x = 48 Divide each side by '8'. x = 6 Simplifying x = 6
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