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Simplifying -9x + 7(-3x + -6) = -64 + -8x Reorder the terms: -9x + 7(-6 + -3x) = -64 + -8x -9x + (-6 * 7 + -3x * 7) = -64 + -8x -9x + (-42 + -21x) = -64 + -8x Reorder the terms: -42 + -9x + -21x = -64 + -8x Combine like terms: -9x + -21x = -30x -42 + -30x = -64 + -8x Solving -42 + -30x = -64 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. -42 + -30x + 8x = -64 + -8x + 8x Combine like terms: -30x + 8x = -22x -42 + -22x = -64 + -8x + 8x Combine like terms: -8x + 8x = 0 -42 + -22x = -64 + 0 -42 + -22x = -64 Add '42' to each side of the equation. -42 + 42 + -22x = -64 + 42 Combine like terms: -42 + 42 = 0 0 + -22x = -64 + 42 -22x = -64 + 42 Combine like terms: -64 + 42 = -22 -22x = -22 Divide each side by '-22'. x = 1 Simplifying x = 1
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