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Simplifying -8x + 7(3x + -6) = -20 + -9x Reorder the terms: -8x + 7(-6 + 3x) = -20 + -9x -8x + (-6 * 7 + 3x * 7) = -20 + -9x -8x + (-42 + 21x) = -20 + -9x Reorder the terms: -42 + -8x + 21x = -20 + -9x Combine like terms: -8x + 21x = 13x -42 + 13x = -20 + -9x Solving -42 + 13x = -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. -42 + 13x + 9x = -20 + -9x + 9x Combine like terms: 13x + 9x = 22x -42 + 22x = -20 + -9x + 9x Combine like terms: -9x + 9x = 0 -42 + 22x = -20 + 0 -42 + 22x = -20 Add '42' to each side of the equation. -42 + 42 + 22x = -20 + 42 Combine like terms: -42 + 42 = 0 0 + 22x = -20 + 42 22x = -20 + 42 Combine like terms: -20 + 42 = 22 22x = 22 Divide each side by '22'. x = 1 Simplifying x = 1
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