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Simplifying -8(2x + 4) = -4(5x + 8) Reorder the terms: -8(4 + 2x) = -4(5x + 8) (4 * -8 + 2x * -8) = -4(5x + 8) (-32 + -16x) = -4(5x + 8) Reorder the terms: -32 + -16x = -4(8 + 5x) -32 + -16x = (8 * -4 + 5x * -4) -32 + -16x = (-32 + -20x) Add '32' to each side of the equation. -32 + 32 + -16x = -32 + 32 + -20x Combine like terms: -32 + 32 = 0 0 + -16x = -32 + 32 + -20x -16x = -32 + 32 + -20x Combine like terms: -32 + 32 = 0 -16x = 0 + -20x -16x = -20x Solving -16x = -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. -16x + 20x = -20x + 20x Combine like terms: -16x + 20x = 4x 4x = -20x + 20x Combine like terms: -20x + 20x = 0 4x = 0 Divide each side by '4'. x = 0 Simplifying x = 0
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