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Simplifying 5(4x + -4) = 2(8x + 8) Reorder the terms: 5(-4 + 4x) = 2(8x + 8) (-4 * 5 + 4x * 5) = 2(8x + 8) (-20 + 20x) = 2(8x + 8) Reorder the terms: -20 + 20x = 2(8 + 8x) -20 + 20x = (8 * 2 + 8x * 2) -20 + 20x = (16 + 16x) Solving -20 + 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. -20 + 20x + -16x = 16 + 16x + -16x Combine like terms: 20x + -16x = 4x -20 + 4x = 16 + 16x + -16x Combine like terms: 16x + -16x = 0 -20 + 4x = 16 + 0 -20 + 4x = 16 Add '20' to each side of the equation. -20 + 20 + 4x = 16 + 20 Combine like terms: -20 + 20 = 0 0 + 4x = 16 + 20 4x = 16 + 20 Combine like terms: 16 + 20 = 36 4x = 36 Divide each side by '4'. x = 9 Simplifying x = 9
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