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Simplifying 8 = -4(x + 6) Reorder the terms: 8 = -4(6 + x) 8 = (6 * -4 + x * -4) 8 = (-24 + -4x) Solving 8 = -24 + -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. 8 + 4x = -24 + -4x + 4x Combine like terms: -4x + 4x = 0 8 + 4x = -24 + 0 8 + 4x = -24 Add '-8' to each side of the equation. 8 + -8 + 4x = -24 + -8 Combine like terms: 8 + -8 = 0 0 + 4x = -24 + -8 4x = -24 + -8 Combine like terms: -24 + -8 = -32 4x = -32 Divide each side by '4'. x = -8 Simplifying x = -8
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