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