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Simplifying -6x + 7(-3x + -6) = -64 + -5x Reorder the terms: -6x + 7(-6 + -3x) = -64 + -5x -6x + (-6 * 7 + -3x * 7) = -64 + -5x -6x + (-42 + -21x) = -64 + -5x Reorder the terms: -42 + -6x + -21x = -64 + -5x Combine like terms: -6x + -21x = -27x -42 + -27x = -64 + -5x Solving -42 + -27x = -64 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. -42 + -27x + 5x = -64 + -5x + 5x Combine like terms: -27x + 5x = -22x -42 + -22x = -64 + -5x + 5x Combine like terms: -5x + 5x = 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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