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Simplifying 8x + (-20x + -4(x + -5)) = 32 Reorder the terms: 8x + (-20x + -4(-5 + x)) = 32 8x + (-20x + (-5 * -4 + x * -4)) = 32 8x + (-20x + (20 + -4x)) = 32 Reorder the terms: 8x + (20 + -20x + -4x) = 32 Combine like terms: -20x + -4x = -24x 8x + (20 + -24x) = 32 Remove parenthesis around (20 + -24x) 8x + 20 + -24x = 32 Reorder the terms: 20 + 8x + -24x = 32 Combine like terms: 8x + -24x = -16x 20 + -16x = 32 Solving 20 + -16x = 32 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + -20 + -16x = 32 + -20 Combine like terms: 20 + -20 = 0 0 + -16x = 32 + -20 -16x = 32 + -20 Combine like terms: 32 + -20 = 12 -16x = 12 Divide each side by '-16'. x = -0.75 Simplifying x = -0.75
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