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Simplifying -6(2x + 4) = 8(-5 + -2x) Reorder the terms: -6(4 + 2x) = 8(-5 + -2x) (4 * -6 + 2x * -6) = 8(-5 + -2x) (-24 + -12x) = 8(-5 + -2x) -24 + -12x = (-5 * 8 + -2x * 8) -24 + -12x = (-40 + -16x) Solving -24 + -12x = -40 + -16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '16x' to each side of the equation. -24 + -12x + 16x = -40 + -16x + 16x Combine like terms: -12x + 16x = 4x -24 + 4x = -40 + -16x + 16x Combine like terms: -16x + 16x = 0 -24 + 4x = -40 + 0 -24 + 4x = -40 Add '24' to each side of the equation. -24 + 24 + 4x = -40 + 24 Combine like terms: -24 + 24 = 0 0 + 4x = -40 + 24 4x = -40 + 24 Combine like terms: -40 + 24 = -16 4x = -16 Divide each side by '4'. x = -4 Simplifying x = -4
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