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Simplifying -8[2x + -9] = 20 + -12x Reorder the terms: -8[-9 + 2x] = 20 + -12x [-9 * -8 + 2x * -8] = 20 + -12x [72 + -16x] = 20 + -12x Solving 72 + -16x = 20 + -12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12x' to each side of the equation. 72 + -16x + 12x = 20 + -12x + 12x Combine like terms: -16x + 12x = -4x 72 + -4x = 20 + -12x + 12x Combine like terms: -12x + 12x = 0 72 + -4x = 20 + 0 72 + -4x = 20 Add '-72' to each side of the equation. 72 + -72 + -4x = 20 + -72 Combine like terms: 72 + -72 = 0 0 + -4x = 20 + -72 -4x = 20 + -72 Combine like terms: 20 + -72 = -52 -4x = -52 Divide each side by '-4'. x = 13 Simplifying x = 13
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