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