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Simplifying -5(1 + -8x) = -21 + 8x (1 * -5 + -8x * -5) = -21 + 8x (-5 + 40x) = -21 + 8x Solving -5 + 40x = -21 + 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. -5 + 40x + -8x = -21 + 8x + -8x Combine like terms: 40x + -8x = 32x -5 + 32x = -21 + 8x + -8x Combine like terms: 8x + -8x = 0 -5 + 32x = -21 + 0 -5 + 32x = -21 Add '5' to each side of the equation. -5 + 5 + 32x = -21 + 5 Combine like terms: -5 + 5 = 0 0 + 32x = -21 + 5 32x = -21 + 5 Combine like terms: -21 + 5 = -16 32x = -16 Divide each side by '32'. x = -0.5 Simplifying x = -0.5
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