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Simplifying -6(2x + -6) = -20 + -4x Reorder the terms: -6(-6 + 2x) = -20 + -4x (-6 * -6 + 2x * -6) = -20 + -4x (36 + -12x) = -20 + -4x Solving 36 + -12x = -20 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 36 + -12x + 4x = -20 + -4x + 4x Combine like terms: -12x + 4x = -8x 36 + -8x = -20 + -4x + 4x Combine like terms: -4x + 4x = 0 36 + -8x = -20 + 0 36 + -8x = -20 Add '-36' to each side of the equation. 36 + -36 + -8x = -20 + -36 Combine like terms: 36 + -36 = 0 0 + -8x = -20 + -36 -8x = -20 + -36 Combine like terms: -20 + -36 = -56 -8x = -56 Divide each side by '-8'. x = 7 Simplifying x = 7
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