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Simplifying -8(2x + -9) = 20 + -21x Reorder the terms: -8(-9 + 2x) = 20 + -21x (-9 * -8 + 2x * -8) = 20 + -21x (72 + -16x) = 20 + -21x Solving 72 + -16x = 20 + -21x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '21x' to each side of the equation. 72 + -16x + 21x = 20 + -21x + 21x Combine like terms: -16x + 21x = 5x 72 + 5x = 20 + -21x + 21x Combine like terms: -21x + 21x = 0 72 + 5x = 20 + 0 72 + 5x = 20 Add '-72' to each side of the equation. 72 + -72 + 5x = 20 + -72 Combine like terms: 72 + -72 = 0 0 + 5x = 20 + -72 5x = 20 + -72 Combine like terms: 20 + -72 = -52 5x = -52 Divide each side by '5'. x = -10.4 Simplifying x = -10.4
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