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Simplifying 4(-5 + 5x) + -4(-1 + -5x) = 64 (-5 * 4 + 5x * 4) + -4(-1 + -5x) = 64 (-20 + 20x) + -4(-1 + -5x) = 64 -20 + 20x + (-1 * -4 + -5x * -4) = 64 -20 + 20x + (4 + 20x) = 64 Reorder the terms: -20 + 4 + 20x + 20x = 64 Combine like terms: -20 + 4 = -16 -16 + 20x + 20x = 64 Combine like terms: 20x + 20x = 40x -16 + 40x = 64 Solving -16 + 40x = 64 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '16' to each side of the equation. -16 + 16 + 40x = 64 + 16 Combine like terms: -16 + 16 = 0 0 + 40x = 64 + 16 40x = 64 + 16 Combine like terms: 64 + 16 = 80 40x = 80 Divide each side by '40'. x = 2 Simplifying x = 2
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