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Simplifying -6(x + 1) + -8 = 6(x + 7) Reorder the terms: -6(1 + x) + -8 = 6(x + 7) (1 * -6 + x * -6) + -8 = 6(x + 7) (-6 + -6x) + -8 = 6(x + 7) Reorder the terms: -6 + -8 + -6x = 6(x + 7) Combine like terms: -6 + -8 = -14 -14 + -6x = 6(x + 7) Reorder the terms: -14 + -6x = 6(7 + x) -14 + -6x = (7 * 6 + x * 6) -14 + -6x = (42 + 6x) Solving -14 + -6x = 42 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -14 + -6x + -6x = 42 + 6x + -6x Combine like terms: -6x + -6x = -12x -14 + -12x = 42 + 6x + -6x Combine like terms: 6x + -6x = 0 -14 + -12x = 42 + 0 -14 + -12x = 42 Add '14' to each side of the equation. -14 + 14 + -12x = 42 + 14 Combine like terms: -14 + 14 = 0 0 + -12x = 42 + 14 -12x = 42 + 14 Combine like terms: 42 + 14 = 56 -12x = 56 Divide each side by '-12'. x = -4.666666667 Simplifying x = -4.666666667
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