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Simplifying -2(4 + 6x) = -4 + -8x (4 * -2 + 6x * -2) = -4 + -8x (-8 + -12x) = -4 + -8x Solving -8 + -12x = -4 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. -8 + -12x + 8x = -4 + -8x + 8x Combine like terms: -12x + 8x = -4x -8 + -4x = -4 + -8x + 8x Combine like terms: -8x + 8x = 0 -8 + -4x = -4 + 0 -8 + -4x = -4 Add '8' to each side of the equation. -8 + 8 + -4x = -4 + 8 Combine like terms: -8 + 8 = 0 0 + -4x = -4 + 8 -4x = -4 + 8 Combine like terms: -4 + 8 = 4 -4x = 4 Divide each side by '-4'. x = -1 Simplifying x = -1
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