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Simplifying 4[5 + -1(-8x + -5)] = 128x + 100 Reorder the terms: 4[5 + -1(-5 + -8x)] = 128x + 100 4[5 + (-5 * -1 + -8x * -1)] = 128x + 100 4[5 + (5 + 8x)] = 128x + 100 Combine like terms: 5 + 5 = 10 4[10 + 8x] = 128x + 100 [10 * 4 + 8x * 4] = 128x + 100 [40 + 32x] = 128x + 100 Reorder the terms: 40 + 32x = 100 + 128x Solving 40 + 32x = 100 + 128x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-128x' to each side of the equation. 40 + 32x + -128x = 100 + 128x + -128x Combine like terms: 32x + -128x = -96x 40 + -96x = 100 + 128x + -128x Combine like terms: 128x + -128x = 0 40 + -96x = 100 + 0 40 + -96x = 100 Add '-40' to each side of the equation. 40 + -40 + -96x = 100 + -40 Combine like terms: 40 + -40 = 0 0 + -96x = 100 + -40 -96x = 100 + -40 Combine like terms: 100 + -40 = 60 -96x = 60 Divide each side by '-96'. x = -0.625 Simplifying x = -0.625
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