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