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Simplifying -12(x + 2) = -8(x + 6) Reorder the terms: -12(2 + x) = -8(x + 6) (2 * -12 + x * -12) = -8(x + 6) (-24 + -12x) = -8(x + 6) Reorder the terms: -24 + -12x = -8(6 + x) -24 + -12x = (6 * -8 + x * -8) -24 + -12x = (-48 + -8x) Solving -24 + -12x = -48 + -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. -24 + -12x + 8x = -48 + -8x + 8x Combine like terms: -12x + 8x = -4x -24 + -4x = -48 + -8x + 8x Combine like terms: -8x + 8x = 0 -24 + -4x = -48 + 0 -24 + -4x = -48 Add '24' to each side of the equation. -24 + 24 + -4x = -48 + 24 Combine like terms: -24 + 24 = 0 0 + -4x = -48 + 24 -4x = -48 + 24 Combine like terms: -48 + 24 = -24 -4x = -24 Divide each side by '-4'. x = 6 Simplifying x = 6
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