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Simplifying 5 + -4(x + -8) = -5(4x + -1) Reorder the terms: 5 + -4(-8 + x) = -5(4x + -1) 5 + (-8 * -4 + x * -4) = -5(4x + -1) 5 + (32 + -4x) = -5(4x + -1) Combine like terms: 5 + 32 = 37 37 + -4x = -5(4x + -1) Reorder the terms: 37 + -4x = -5(-1 + 4x) 37 + -4x = (-1 * -5 + 4x * -5) 37 + -4x = (5 + -20x) Solving 37 + -4x = 5 + -20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '20x' to each side of the equation. 37 + -4x + 20x = 5 + -20x + 20x Combine like terms: -4x + 20x = 16x 37 + 16x = 5 + -20x + 20x Combine like terms: -20x + 20x = 0 37 + 16x = 5 + 0 37 + 16x = 5 Add '-37' to each side of the equation. 37 + -37 + 16x = 5 + -37 Combine like terms: 37 + -37 = 0 0 + 16x = 5 + -37 16x = 5 + -37 Combine like terms: 5 + -37 = -32 16x = -32 Divide each side by '16'. x = -2 Simplifying x = -2
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