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Simplifying 4(5 + -1x) + -5(-5 + -8x) = 0 (5 * 4 + -1x * 4) + -5(-5 + -8x) = 0 (20 + -4x) + -5(-5 + -8x) = 0 20 + -4x + (-5 * -5 + -8x * -5) = 0 20 + -4x + (25 + 40x) = 0 Reorder the terms: 20 + 25 + -4x + 40x = 0 Combine like terms: 20 + 25 = 45 45 + -4x + 40x = 0 Combine like terms: -4x + 40x = 36x 45 + 36x = 0 Solving 45 + 36x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-45' to each side of the equation. 45 + -45 + 36x = 0 + -45 Combine like terms: 45 + -45 = 0 0 + 36x = 0 + -45 36x = 0 + -45 Combine like terms: 0 + -45 = -45 36x = -45 Divide each side by '36'. x = -1.25 Simplifying x = -1.25
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