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