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Simplifying -5x + 6(2x + -6) = -20 + -9x Reorder the terms: -5x + 6(-6 + 2x) = -20 + -9x -5x + (-6 * 6 + 2x * 6) = -20 + -9x -5x + (-36 + 12x) = -20 + -9x Reorder the terms: -36 + -5x + 12x = -20 + -9x Combine like terms: -5x + 12x = 7x -36 + 7x = -20 + -9x Solving -36 + 7x = -20 + -9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9x' to each side of the equation. -36 + 7x + 9x = -20 + -9x + 9x Combine like terms: 7x + 9x = 16x -36 + 16x = -20 + -9x + 9x Combine like terms: -9x + 9x = 0 -36 + 16x = -20 + 0 -36 + 16x = -20 Add '36' to each side of the equation. -36 + 36 + 16x = -20 + 36 Combine like terms: -36 + 36 = 0 0 + 16x = -20 + 36 16x = -20 + 36 Combine like terms: -20 + 36 = 16 16x = 16 Divide each side by '16'. x = 1 Simplifying x = 1
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