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Simplifying 8x + -1(6 + -1x) = 7(3x + 6) 8x + (6 * -1 + -1x * -1) = 7(3x + 6) 8x + (-6 + 1x) = 7(3x + 6) Reorder the terms: -6 + 8x + 1x = 7(3x + 6) Combine like terms: 8x + 1x = 9x -6 + 9x = 7(3x + 6) Reorder the terms: -6 + 9x = 7(6 + 3x) -6 + 9x = (6 * 7 + 3x * 7) -6 + 9x = (42 + 21x) Solving -6 + 9x = 42 + 21x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-21x' to each side of the equation. -6 + 9x + -21x = 42 + 21x + -21x Combine like terms: 9x + -21x = -12x -6 + -12x = 42 + 21x + -21x Combine like terms: 21x + -21x = 0 -6 + -12x = 42 + 0 -6 + -12x = 42 Add '6' to each side of the equation. -6 + 6 + -12x = 42 + 6 Combine like terms: -6 + 6 = 0 0 + -12x = 42 + 6 -12x = 42 + 6 Combine like terms: 42 + 6 = 48 -12x = 48 Divide each side by '-12'. x = -4 Simplifying x = -4
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