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Simplifying -8(2x + 4) = -5(4x + 8) Reorder the terms: -8(4 + 2x) = -5(4x + 8) (4 * -8 + 2x * -8) = -5(4x + 8) (-32 + -16x) = -5(4x + 8) Reorder the terms: -32 + -16x = -5(8 + 4x) -32 + -16x = (8 * -5 + 4x * -5) -32 + -16x = (-40 + -20x) Solving -32 + -16x = -40 + -20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '20x' to each side of the equation. -32 + -16x + 20x = -40 + -20x + 20x Combine like terms: -16x + 20x = 4x -32 + 4x = -40 + -20x + 20x Combine like terms: -20x + 20x = 0 -32 + 4x = -40 + 0 -32 + 4x = -40 Add '32' to each side of the equation. -32 + 32 + 4x = -40 + 32 Combine like terms: -32 + 32 = 0 0 + 4x = -40 + 32 4x = -40 + 32 Combine like terms: -40 + 32 = -8 4x = -8 Divide each side by '4'. x = -2 Simplifying x = -2
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