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Simplifying -8 + -2x = -4(x + 6) Reorder the terms: -8 + -2x = -4(6 + x) -8 + -2x = (6 * -4 + x * -4) -8 + -2x = (-24 + -4x) Solving -8 + -2x = -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 + -2x + 4x = -24 + -4x + 4x Combine like terms: -2x + 4x = 2x -8 + 2x = -24 + -4x + 4x Combine like terms: -4x + 4x = 0 -8 + 2x = -24 + 0 -8 + 2x = -24 Add '8' to each side of the equation. -8 + 8 + 2x = -24 + 8 Combine like terms: -8 + 8 = 0 0 + 2x = -24 + 8 2x = -24 + 8 Combine like terms: -24 + 8 = -16 2x = -16 Divide each side by '2'. x = -8 Simplifying x = -8
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